ﬁrst order ode quadrature

Table 2.361: ﬁrst order ode quadrature


#	ODE	CAS classiﬁcation	Solved?

1	\[ {}y^{\prime } = 2 x +1 \] i.c.	[_quadrature]	✓

2	\[ {}y^{\prime } = \left (x -2\right )^{2} \] i.c.	[_quadrature]	✓

3	\[ {}y^{\prime } = \sqrt {x} \] i.c.	[_quadrature]	✓

4	\[ {}y^{\prime } = \frac {1}{x^{2}} \] i.c.	[_quadrature]	✓

5	\[ {}y^{\prime } = \frac {1}{\sqrt {x +2}} \] i.c.	[_quadrature]	✓

6	\[ {}y^{\prime } = x \sqrt {x^{2}+9} \] i.c.	[_quadrature]	✓

7	\[ {}y^{\prime } = \frac {10}{x^{2}+1} \] i.c.	[_quadrature]	✓

8	\[ {}y^{\prime } = \cos \left (2 x \right ) \] i.c.	[_quadrature]	✓

9	\[ {}y^{\prime } = \frac {1}{\sqrt {-x^{2}+1}} \] i.c.	[_quadrature]	✓

10	\[ {}y^{\prime } = x \,{\mathrm e}^{-x} \] i.c.	[_quadrature]	✓

29	\[ {}y^{\prime } = y^{{1}/{3}} \] i.c.	[_quadrature]	✓

30	\[ {}y^{\prime } = y^{{1}/{3}} \] i.c.	[_quadrature]	✓

35	\[ {}y^{\prime } = \ln \left (1+y^{2}\right ) \] i.c.	[_quadrature]	✓

63	\[ {}1+y^{\prime } = 2 y \] i.c.	[_quadrature]	✓

69	\[ {}y^{\prime } = y^{2} \] i.c.	[_quadrature]	✓

70	\[ {}{y^{\prime }}^{2} = 4 y \] i.c.	[_quadrature]	✓

71	\[ {}y^{\prime } = 2 \sqrt {y} \] i.c.	[_quadrature]	✓

72	\[ {}y^{\prime } = y \sqrt {-1+y^{2}} \] i.c.	[_quadrature]	✓

73	\[ {}y^{\prime }+y = 2 \] i.c.	[_quadrature]	✓

125	\[ {}y^{\prime } = y+y^{3} \]	[_quadrature]	✓

171	\[ {}x^{\prime } = x-x^{2} \] i.c.	[_quadrature]	✓

172	\[ {}x^{\prime } = 10 x-x^{2} \] i.c.	[_quadrature]	✓

173	\[ {}x^{\prime } = 1-x^{2} \] i.c.	[_quadrature]	✓

174	\[ {}x^{\prime } = 9-4 x^{2} \] i.c.	[_quadrature]	✓

175	\[ {}x^{\prime } = 3 x \left (5-x\right ) \] i.c.	[_quadrature]	✓

176	\[ {}x^{\prime } = 3 x \left (5-x\right ) \] i.c.	[_quadrature]	✓

177	\[ {}x^{\prime } = 4 x \left (7-x\right ) \] i.c.	[_quadrature]	✓

178	\[ {}x^{\prime } = 7 x \left (x-13\right ) \] i.c.	[_quadrature]	✓

231	\[ {}y^{\prime }+y^{2} = 0 \]	[_quadrature]	✓

651	\[ {}y^{\prime } = 2 x +1 \] i.c.	[_quadrature]	✓

652	\[ {}y^{\prime } = \left (x -2\right )^{2} \] i.c.	[_quadrature]	✓

653	\[ {}y^{\prime } = \sqrt {x} \] i.c.	[_quadrature]	✓

654	\[ {}y^{\prime } = \frac {1}{x^{2}} \] i.c.	[_quadrature]	✓

655	\[ {}y^{\prime } = \frac {1}{\sqrt {x +2}} \] i.c.	[_quadrature]	✓

656	\[ {}y^{\prime } = x \sqrt {x^{2}+9} \] i.c.	[_quadrature]	✓

657	\[ {}y^{\prime } = \frac {10}{x^{2}+1} \] i.c.	[_quadrature]	✓

658	\[ {}y^{\prime } = \cos \left (2 x \right ) \] i.c.	[_quadrature]	✓

659	\[ {}y^{\prime } = \frac {1}{\sqrt {-x^{2}+1}} \] i.c.	[_quadrature]	✓

660	\[ {}y^{\prime } = x \,{\mathrm e}^{-x} \] i.c.	[_quadrature]	✓

671	\[ {}y^{\prime } = y^{{1}/{3}} \] i.c.	[_quadrature]	✓

672	\[ {}y^{\prime } = y^{{1}/{3}} \] i.c.	[_quadrature]	✓

675	\[ {}y^{\prime } = \ln \left (1+y^{2}\right ) \] i.c.	[_quadrature]	✓

698	\[ {}1+y^{\prime } = 2 y \] i.c.	[_quadrature]	✓

704	\[ {}y^{\prime }+y = 2 \] i.c.	[_quadrature]	✓

746	\[ {}\left (x +y\right ) y^{\prime } = 0 \]	[_quadrature]	✓

749	\[ {}y^{\prime } = y+y^{3} \]	[_quadrature]	✓

1065	\[ {}y^{\prime } = 1+y^{2} \] i.c.	[_quadrature]	✓

1157	\[ {}y^{\prime } = \frac {b +a y}{d +c y} \]	[_quadrature]	✓

1176	\[ {}y^{3}+y^{\prime } = 0 \]	[_quadrature]	✓

1182	\[ {}y^{\prime } = a y+b y^{2} \]	[_quadrature]	✓

1183	\[ {}y^{\prime } = y \left (-2+y\right ) \left (-1+y\right ) \]	[_quadrature]	✓

1184	\[ {}y^{\prime } = -1+{\mathrm e}^{y} \]	[_quadrature]	✓

1185	\[ {}y^{\prime } = -1+{\mathrm e}^{-y} \]	[_quadrature]	✓

1186	\[ {}y^{\prime } = -\frac {2 \arctan \left (y\right )}{1+y^{2}} \]	[_quadrature]	✓

1187	\[ {}y^{\prime } = -k \left (-1+y\right )^{2} \]	[_quadrature]	✓

1188	\[ {}y^{\prime } = y^{2} \left (-1+y^{2}\right ) \]	[_quadrature]	✓

1189	\[ {}y^{\prime } = y \left (1-y^{2}\right ) \]	[_quadrature]	✓

1190	\[ {}y^{\prime } = -b \sqrt {y}+a y \]	[_quadrature]	✓

1191	\[ {}y^{\prime } = y^{2} \left (4-y^{2}\right ) \]	[_quadrature]	✓

1192	\[ {}y^{\prime } = \left (1-y\right )^{2} y^{2} \]	[_quadrature]	✓

1519	\[ {}y^{\prime } = 2 y \]	[_quadrature]	✓

1524	\[ {}y^{\prime } = -x \]	[_quadrature]	✓

1525	\[ {}y^{\prime } = -x \sin \left (x \right ) \]	[_quadrature]	✓

1526	\[ {}y^{\prime } = x \ln \left (x \right ) \]	[_quadrature]	✓

1527	\[ {}y^{\prime } = -x \,{\mathrm e}^{x} \] i.c.	[_quadrature]	✓

1528	\[ {}y^{\prime } = x \sin \left (x^{2}\right ) \] i.c.	[_quadrature]	✓

1529	\[ {}y^{\prime } = \tan \left (x \right ) \] i.c.	[_quadrature]	✓

1534	\[ {}y^{\prime } = a y^{\frac {a -1}{a}} \]	[_quadrature]	✓

1535	\[ {}y^{\prime } = {\| y\|}+1 \] i.c.	[_quadrature]	✓

1537	\[ {}y^{\prime }+a y = 0 \]	[_quadrature]	✓

1548	\[ {}y^{\prime }+3 y = 1 \]	[_quadrature]	✓

1574	\[ {}\sec \left (y\right )^{2} y^{\prime }-3 \tan \left (y\right ) = -1 \]	[_quadrature]	✓

1596	\[ {}y^{\prime } = 2 y-y^{2} \] i.c.	[_quadrature]	✓

1603	\[ {}y^{\prime } = a y-b y^{2} \] i.c.	[_quadrature]	✓

1621	\[ {}y^{\prime } = y^{{2}/{5}} \] i.c.	[_quadrature]	✓

1682	\[ {}14 y^{3} x^{2}+21 x^{2} y^{2} y^{\prime } = 0 \]	[_quadrature]	✓

1684	\[ {}\left (x +y\right )^{2}+\left (x +y\right )^{2} y^{\prime } = 0 \]	[_quadrature]	✓

1715	\[ {}2 y^{3}+3 y^{2} y^{\prime } = 0 \]	[_quadrature]	✓

1792	\[ {}y^{\prime }+y^{2}+k^{2} = 0 \]	[_quadrature]	✓

1793	\[ {}y^{\prime }+y^{2}-3 y+2 = 0 \]	[_quadrature]	✓

1794	\[ {}y^{\prime }+y^{2}+5 y-6 = 0 \]	[_quadrature]	✓

1795	\[ {}y^{\prime }+y^{2}+8 y+7 = 0 \]	[_quadrature]	✓

1796	\[ {}y^{\prime }+y^{2}+14 y+50 = 0 \]	[_quadrature]	✓

1797	\[ {}6 y^{\prime }+6 y^{2}-y-1 = 0 \]	[_quadrature]	✓

1798	\[ {}36 y^{\prime }+36 y^{2}-12 y+1 = 0 \]	[_quadrature]	✓

2328	\[ {}y^{\prime } = k \left (a -y\right ) \left (b -y\right ) \] i.c.	[_quadrature]	✓

2499	\[ {}y^{\prime } = k \left (a -y\right ) \left (b -y\right ) \] i.c.	[_quadrature]	✓

2785	\[ {}x^{\prime } = 1-\sin \left (2 t \right ) \]	[_quadrature]	✓

2798	\[ {}y^{\prime } = {\mathrm e}^{y} \] i.c.	[_quadrature]	✓

2799	\[ {}{\mathrm e}^{y} \left (1+y^{\prime }\right ) = 1 \] i.c.	[_quadrature]	✓

2991	\[ {}y^{\prime }-y = 0 \]	[_quadrature]	✓

3219	\[ {}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0 \]	[_quadrature]	✓

3222	\[ {}\left (1-y^{2}\right ) {y^{\prime }}^{2} = 1 \]	[_quadrature]	✓

3226	\[ {}{y^{\prime }}^{3}+\left (x +y-2 y x \right ) {y^{\prime }}^{2}-2 y^{\prime } x y \left (x +y\right ) = 0 \]	[_quadrature]	✓

3227	\[ {}y {y^{\prime }}^{2}+\left (y^{2}-x^{3}-x y^{2}\right ) y^{\prime }-x y \left (x^{2}+y^{2}\right ) = 0 \]	[_quadrature]	✓

3230	\[ {}y \left (1+{y^{\prime }}^{2}\right ) = 2 \]	[_quadrature]	✓

3232	\[ {}{y^{\prime }}^{2}+y^{2} = 1 \]	[_quadrature]	✓

3238	\[ {}y {y^{\prime }}^{2}+2 y^{\prime }+1 = 0 \]	[_quadrature]	✓

3242	\[ {}x = {y^{\prime }}^{2}+y^{\prime } \]	[_quadrature]	✓

3336	\[ {}y^{\prime } = 2 \]	[_quadrature]	✓

3337	\[ {}y^{\prime } = 2 \,{\mathrm e}^{3 x} \]	[_quadrature]	✓

3338	\[ {}y^{\prime } = \frac {2}{\sqrt {-x^{2}+1}} \]	[_quadrature]	✓

3339	\[ {}y^{\prime } = {\mathrm e}^{x^{2}} \]	[_quadrature]	✓

3340	\[ {}y^{\prime } = x \,{\mathrm e}^{x^{2}} \]	[_quadrature]	✓

3341	\[ {}y^{\prime } = \arcsin \left (x \right ) \]	[_quadrature]	✓

3347	\[ {}{y^{\prime }}^{2}-y^{2} = 0 \]	[_quadrature]	✓

3348	\[ {}{y^{\prime }}^{2}-3 y^{\prime }+2 = 0 \]	[_quadrature]	✓

3349	\[ {}\left (x^{2}+1\right ) y^{\prime } = 1 \]	[_quadrature]	✓

3350	\[ {}y^{\prime } \sin \left (x \right ) = 1 \]	[_quadrature]	✓

3351	\[ {}y^{\prime } = t^{2}+3 \]	[_quadrature]	✓

3352	\[ {}y^{\prime } = t \,{\mathrm e}^{2 t} \]	[_quadrature]	✓

3353	\[ {}y^{\prime } = \sin \left (3 t \right ) \]	[_quadrature]	✓

3354	\[ {}y^{\prime } = \sin \left (t \right )^{2} \]	[_quadrature]	✓

3355	\[ {}y^{\prime } = \frac {t}{t^{2}+4} \]	[_quadrature]	✓

3356	\[ {}y^{\prime } = \ln \left (t \right ) \]	[_quadrature]	✓

3357	\[ {}y^{\prime } = \frac {t}{\sqrt {t}+1} \]	[_quadrature]	✓

3358	\[ {}y^{\prime } = 2 y-4 \] i.c.	[_quadrature]	✓

3359	\[ {}y^{\prime } = -y^{3} \] i.c.	[_quadrature]	✓

3361	\[ {}y^{\prime } = t \,{\mathrm e}^{2 t} \] i.c.	[_quadrature]	✓

3362	\[ {}y^{\prime } = \sin \left (t \right )^{2} \] i.c.	[_quadrature]	✓

3363	\[ {}y^{\prime } = 8 \,{\mathrm e}^{4 t}+t \] i.c.	[_quadrature]	✓

3366	\[ {}y^{\prime } = y^{2}-y \]	[_quadrature]	✓

3367	\[ {}y^{\prime } = -1+y \]	[_quadrature]	✓

3368	\[ {}y^{\prime } = 1-y \]	[_quadrature]	✓

3369	\[ {}y^{\prime } = y^{3}-y^{2} \]	[_quadrature]	✓

3370	\[ {}y^{\prime } = 1-y^{2} \]	[_quadrature]	✓

3372	\[ {}y^{\prime } = -y \]	[_quadrature]	✓

3380	\[ {}y^{\prime } = y \] i.c.	[_quadrature]	✓

3381	\[ {}y^{\prime } = 2 y \] i.c.	[_quadrature]	✓

3476	\[ {}y^{\prime }+\frac {m}{x} = \ln \left (x \right ) \]	[_quadrature]	✓

3494	\[ {}y^{\prime } = -y^{2} \]	[_quadrature]	✓

3515	\[ {}y^{\prime } = \sin \left (x \right ) \]	[_quadrature]	✓

3516	\[ {}y^{\prime } = \frac {1}{x^{{2}/{3}}} \]	[_quadrature]	✓

3519	\[ {}y^{\prime } = x^{2} \ln \left (x \right ) \] i.c.	[_quadrature]	✓

3541	\[ {}y^{\prime } = \frac {2 \sqrt {-1+y}}{3} \] i.c.	[_quadrature]	✓

3542	\[ {}m v^{\prime } = m g -k v^{2} \] i.c.	[_quadrature]	✓

3902	\[ {}y = y^{\prime }+\frac {{y^{\prime }}^{2}}{2} \]	[_quadrature]	✓

3906	\[ {}y^{\prime } = {\mathrm e}^{-x} \]	[_quadrature]	✓

3907	\[ {}y^{\prime } = 1-x^{5}+\sqrt {x} \]	[_quadrature]	✓

3914	\[ {}y^{\prime }+y = 0 \]	[_quadrature]	✓

3921	\[ {}y^{\prime } = {\mathrm e}^{x} \sin \left (x \right ) \] i.c.	[_quadrature]	✓

3923	\[ {}y^{\prime } = x +\frac {1}{x} \] i.c.	[_quadrature]	✓

3930	\[ {}x +\left (2-x +2 y\right ) y^{\prime } = x y \left (y^{\prime }-1\right ) \]	[_quadrature]	✓

3961	\[ {}y^{\prime } = 3 \cos \left (y\right )^{2} \]	[_quadrature]	✓

3972	\[ {}\left (x^{3}+1\right ) y^{\prime } = 3 x^{2} \tan \left (x \right ) \] i.c.	[_quadrature]	✓

4049	\[ {}y^{2} y^{\prime } = 2+3 y^{6} \] i.c.	[_quadrature]	✓

4103	\[ {}\left (\sin \left (y\right )^{2}+x \cot \left (y\right )\right ) y^{\prime } = 0 \]	[_quadrature]	✓

4128	\[ {}x \left (-1+{y^{\prime }}^{2}\right ) = 2 y^{\prime } \]	[_quadrature]	✓

4130	\[ {}x = y^{\prime } \sqrt {1+{y^{\prime }}^{2}} \]	[_quadrature]	✓

4168	\[ {}y^{\prime } = a f \left (x \right ) \]	[_quadrature]	✓

4222	\[ {}y^{\prime } = a +b y^{2} \]	[_quadrature]	✓

4227	\[ {}y^{\prime } = \operatorname {a0} +\operatorname {a1} y+\operatorname {a2} y^{2} \]	[_quadrature]	✓

4248	\[ {}y^{\prime } = y \left (a +b y^{2}\right ) \]	[_quadrature]	✓

4249	\[ {}y^{\prime } = \operatorname {a0} +\operatorname {a1} y+\operatorname {a2} y^{2}+\operatorname {a3} y^{3} \]	[_quadrature]	✓

4260	\[ {}y^{\prime } = \sqrt {{\| y\|}} \]	[_quadrature]	✓

4261	\[ {}y^{\prime } = a +b y+\sqrt {\operatorname {A0} +\operatorname {B0} y} \]	[_quadrature]	✓

4265	\[ {}y^{\prime } = \sqrt {a +b y^{2}} \]	[_quadrature]	✓

4266	\[ {}y^{\prime } = y \sqrt {a +b y} \]	[_quadrature]	✓

4268	\[ {}y^{\prime } = \sqrt {X Y} \]	[_quadrature]	✓

4273	\[ {}y^{\prime } = a +b \cos \left (y\right ) \]	[_quadrature]	✓

4285	\[ {}y^{\prime } = a +b \sin \left (y\right ) \]	[_quadrature]	✓

4289	\[ {}y^{\prime } = \sqrt {a +b \cos \left (y\right )} \]	[_quadrature]	✓

4295	\[ {}y^{\prime } = a f \left (y\right ) \]	[_quadrature]	✓

4302	\[ {}y^{\prime } x = \sqrt {a^{2}-x^{2}} \]	[_quadrature]	✓

4388	\[ {}\left (x +a \right ) y^{\prime } = b x \]	[_quadrature]	✓

4555	\[ {}y^{\prime } \sqrt {X}+\sqrt {Y} = 0 \]	[_quadrature]	✓

4556	\[ {}y^{\prime } \sqrt {X} = \sqrt {Y} \]	[_quadrature]	✓

4562	\[ {}y^{\prime } \sqrt {X} = 0 \]	[_quadrature]	✓

4563	\[ {}y^{\prime } \sqrt {X}+\sqrt {Y} = 0 \]	[_quadrature]	✓

4564	\[ {}y^{\prime } \sqrt {X} = \sqrt {Y} \]	[_quadrature]	✓

4567	\[ {}X^{{2}/{3}} y^{\prime } = Y^{{2}/{3}} \]	[_quadrature]	✓

4584	\[ {}y y^{\prime } = \operatorname {a0} +\operatorname {a1} y+\operatorname {a2} y^{2} \]	[_quadrature]	✓

4587	\[ {}y y^{\prime } = \sqrt {y^{2}+a^{2}} \]	[_quadrature]	✓

4588	\[ {}y y^{\prime } = \sqrt {y^{2}-a^{2}} \]	[_quadrature]	✓

4677	\[ {}x \left (2+y\right ) y^{\prime }+a x = 0 \]	[_quadrature]	✓

4893	\[ {}{y^{\prime }}^{2} = a \,x^{n} \]	[_quadrature]	✓

4894	\[ {}{y^{\prime }}^{2} = y \]	[_quadrature]	✓

4900	\[ {}{y^{\prime }}^{2} = 1+y^{2} \]	[_quadrature]	✓

4901	\[ {}{y^{\prime }}^{2} = 1-y^{2} \]	[_quadrature]	✓

4902	\[ {}{y^{\prime }}^{2} = a^{2}-y^{2} \]	[_quadrature]	✓

4903	\[ {}{y^{\prime }}^{2} = a^{2} y^{2} \]	[_quadrature]	✓

4904	\[ {}{y^{\prime }}^{2} = a +b y^{2} \]	[_quadrature]	✓

4906	\[ {}{y^{\prime }}^{2} = \left (-1+y\right ) y^{2} \]	[_quadrature]	✓

4907	\[ {}{y^{\prime }}^{2} = \left (y-a \right ) \left (y-b \right ) \left (y-c \right ) \]	[_quadrature]	✓

4908	\[ {}{y^{\prime }}^{2} = a^{2} y^{n} \]	[_quadrature]	✓

4909	\[ {}{y^{\prime }}^{2} = a^{2} \left (1-\ln \left (y\right )^{2}\right ) y^{2} \]	[_quadrature]	✓

4916	\[ {}{y^{\prime }}^{2}+2 y^{\prime }+x = 0 \]	[_quadrature]	✓

4918	\[ {}{y^{\prime }}^{2}-2 y^{\prime }-y^{2} = 0 \]	[_quadrature]	✓

4919	\[ {}{y^{\prime }}^{2}-5 y^{\prime }+6 = 0 \]	[_quadrature]	✓

4920	\[ {}{y^{\prime }}^{2}-7 y^{\prime }+12 = 0 \]	[_quadrature]	✓

4921	\[ {}{y^{\prime }}^{2}+a y^{\prime }+b = 0 \]	[_quadrature]	✓

4922	\[ {}{y^{\prime }}^{2}+a y^{\prime }+b x = 0 \]	[_quadrature]	✓

4923	\[ {}{y^{\prime }}^{2}+a y^{\prime }+b y = 0 \]	[_quadrature]	✓

4924	\[ {}{y^{\prime }}^{2}+y^{\prime } x +1 = 0 \]	[_quadrature]	✓

4933	\[ {}{y^{\prime }}^{2}-2 y^{\prime } x +1 = 0 \]	[_quadrature]	✓

4934	\[ {}{y^{\prime }}^{2}+2 y^{\prime } x -3 x^{2} = 0 \]	[_quadrature]	✓

4938	\[ {}{y^{\prime }}^{2}-\left (2 x +1\right ) y^{\prime }-x \left (1-x \right ) = 0 \]	[_quadrature]	✓

4942	\[ {}{y^{\prime }}^{2}+a x y^{\prime } = b c \,x^{2} \]	[_quadrature]	✓

4946	\[ {}{y^{\prime }}^{2}-2 x^{2} y^{\prime }+2 y^{\prime } x = 0 \]	[_quadrature]	✓


4950	\[ {}{y^{\prime }}^{2}-2 y^{\prime } \cosh \left (x \right )+1 = 0 \]	[_quadrature]	✓

4951	\[ {}{y^{\prime }}^{2}+y y^{\prime } = x \left (x +y\right ) \]	[_quadrature]	✓

4953	\[ {}{y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+y x = 0 \]	[_quadrature]	✓

4955	\[ {}{y^{\prime }}^{2}+\left (1+2 y\right ) y^{\prime }+y \left (-1+y\right ) = 0 \]	[_quadrature]	✓

4956	\[ {}{y^{\prime }}^{2}-2 \left (x -y\right ) y^{\prime }-4 y x = 0 \]	[_quadrature]	✓

4957	\[ {}{y^{\prime }}^{2}-\left (1+4 y\right ) y^{\prime }+\left (1+4 y\right ) y = 0 \]	[_quadrature]	✓

4958	\[ {}{y^{\prime }}^{2}-2 \left (1-3 y\right ) y^{\prime }-\left (4-9 y\right ) y = 0 \]	[_quadrature]	✓

4959	\[ {}{y^{\prime }}^{2}+\left (a +6 y\right ) y^{\prime }+y \left (3 a +b +9 y\right ) = 0 \]	[_quadrature]	✓

4962	\[ {}{y^{\prime }}^{2}+\left (a x +b y\right ) y^{\prime }+a b x y = 0 \]	[_quadrature]	✓

4964	\[ {}{y^{\prime }}^{2}-\left (1+2 y x \right ) y^{\prime }+2 y x = 0 \]	[_quadrature]	✓

4965	\[ {}{y^{\prime }}^{2}-\left (4+y^{2}\right ) y^{\prime }+4+y^{2} = 0 \]	[_quadrature]	✓

4966	\[ {}{y^{\prime }}^{2}-\left (x -y\right ) y y^{\prime }-x y^{3} = 0 \]	[_separable]	✓

4977	\[ {}2 {y^{\prime }}^{2}+2 \left (6 y-1\right ) y^{\prime }+3 y \left (6 y-1\right ) = 0 \]	[_quadrature]	✓

4980	\[ {}4 {y^{\prime }}^{2} = 9 x \]	[_quadrature]	✓

4986	\[ {}x {y^{\prime }}^{2} = a \]	[_quadrature]	✓

4987	\[ {}x {y^{\prime }}^{2} = -x^{2}+a \]	[_quadrature]	✓

4995	\[ {}x {y^{\prime }}^{2}-\left (x^{2}+1\right ) y^{\prime }+x = 0 \]	[_quadrature]	✓

5011	\[ {}x {y^{\prime }}^{2}-\left (2 x +3 y\right ) y^{\prime }+6 y = 0 \]	[_quadrature]	✓

5014	\[ {}x {y^{\prime }}^{2}-\left (1+y x \right ) y^{\prime }+y = 0 \]	[_quadrature]	✓

5015	\[ {}x {y^{\prime }}^{2}+\left (1-x \right ) y y^{\prime }-y^{2} = 0 \]	[_quadrature]	✓

5016	\[ {}x {y^{\prime }}^{2}+\left (1-x^{2} y\right ) y^{\prime }-y x = 0 \]	[_quadrature]	✓

5024	\[ {}4 x {y^{\prime }}^{2} = \left (a -3 x \right )^{2} \]	[_quadrature]	✓

5029	\[ {}4 \left (2-x \right ) {y^{\prime }}^{2}+1 = 0 \]	[_quadrature]	✓

5031	\[ {}x^{2} {y^{\prime }}^{2} = a^{2} \]	[_quadrature]	✓

5053	\[ {}x^{2} {y^{\prime }}^{2}+\left (a +b \,x^{2} y^{3}\right ) y^{\prime }+a b y^{3} = 0 \]	[_quadrature]	✓

5056	\[ {}\left (a^{2}+x^{2}\right ) {y^{\prime }}^{2} = b^{2} \]	[_quadrature]	✓

5057	\[ {}\left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+b^{2} = 0 \]	[_quadrature]	✓

5058	\[ {}\left (a^{2}-x^{2}\right ) {y^{\prime }}^{2} = b^{2} \]	[_quadrature]	✓

5059	\[ {}\left (a^{2}-x^{2}\right ) {y^{\prime }}^{2} = x^{2} \]	[_quadrature]	✓

5066	\[ {}x^{3} {y^{\prime }}^{2} = a \]	[_quadrature]	✓

5070	\[ {}4 x \left (a -x \right ) \left (b -x \right ) {y^{\prime }}^{2} = \left (a b -2 x \left (a +b \right )+2 x^{2}\right )^{2} \]	[_quadrature]	✓

5074	\[ {}x^{2} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+1 = 0 \]	[_quadrature]	✓

5079	\[ {}y {y^{\prime }}^{2} = a \]	[_quadrature]	✓

5087	\[ {}y {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }-x = 0 \]	[_quadrature]	✓

5089	\[ {}y {y^{\prime }}^{2}-\left (1+y x \right ) y^{\prime }+x = 0 \]	[_quadrature]	✓

5090	\[ {}y {y^{\prime }}^{2}+\left (x -y^{2}\right ) y^{\prime }-y x = 0 \]	[_quadrature]	✓

5091	\[ {}y {y^{\prime }}^{2}+y = a \]	[_quadrature]	✓

5096	\[ {}\left (1-a y\right ) {y^{\prime }}^{2} = a y \]	[_quadrature]	✓

5097	\[ {}\left (x^{2}-a y\right ) {y^{\prime }}^{2}-2 x y y^{\prime } = 0 \]	[_quadrature]	✓

5098	\[ {}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0 \]	[_quadrature]	✓

5107	\[ {}y^{2} {y^{\prime }}^{2} = a^{2} \]	[_quadrature]	✓

5108	\[ {}y^{2} {y^{\prime }}^{2}-a^{2}+y^{2} = 0 \]	[_quadrature]	✓

5112	\[ {}y^{2} {y^{\prime }}^{2}-\left (x +1\right ) y y^{\prime }+x = 0 \]	[_quadrature]	✓

5118	\[ {}\left (1-y^{2}\right ) {y^{\prime }}^{2} = 1 \]	[_quadrature]	✓

5119	\[ {}\left (a^{2}-y^{2}\right ) {y^{\prime }}^{2} = y^{2} \]	[_quadrature]	✓

5132	\[ {}\left (2-3 y\right )^{2} {y^{\prime }}^{2} = 4-4 y \]	[_quadrature]	✓

5144	\[ {}{y^{\prime }}^{3} = b x +a \]	[_quadrature]	✓

5145	\[ {}{y^{\prime }}^{3} = a \,x^{n} \]	[_quadrature]	✓

5148	\[ {}{y^{\prime }}^{3} = \left (y-a \right )^{2} \left (y-b \right )^{2} \]	[_quadrature]	✓

5151	\[ {}{y^{\prime }}^{3}+y^{\prime }+a -b x = 0 \]	[_quadrature]	✓

5152	\[ {}{y^{\prime }}^{3}+y^{\prime }-y = 0 \]	[_quadrature]	✓

5153	\[ {}{y^{\prime }}^{3}+y^{\prime } = {\mathrm e}^{y} \]	[_quadrature]	✓

5154	\[ {}{y^{\prime }}^{3}-7 y^{\prime }+6 = 0 \]	[_quadrature]	✓

5158	\[ {}{y^{\prime }}^{3}-a x y^{\prime }+x^{3} = 0 \]	[_quadrature]	✓

5161	\[ {}{y^{\prime }}^{3}-2 y y^{\prime }+y^{2} = 0 \]	[_quadrature]	✓

5166	\[ {}{y^{\prime }}^{3}+{y^{\prime }}^{2}-y = 0 \]	[_quadrature]	✓

5167	\[ {}{y^{\prime }}^{3}-{y^{\prime }}^{2}+y^{2} = 0 \]	[_quadrature]	✓

5170	\[ {}{y^{\prime }}^{3}+\operatorname {a0} {y^{\prime }}^{2}+\operatorname {a1} y^{\prime }+\operatorname {a2} +\operatorname {a3} y = 0 \]	[_quadrature]	✓

5171	\[ {}{y^{\prime }}^{3}+\left (1-3 x \right ) {y^{\prime }}^{2}-x \left (1-3 x \right ) y^{\prime }-1-x^{3} = 0 \]	[_quadrature]	✓

5172	\[ {}{y^{\prime }}^{3}-y {y^{\prime }}^{2}+y^{2} = 0 \]	[_quadrature]	✓

5173	\[ {}{y^{\prime }}^{3}+\left (\cos \left (x \right ) \cot \left (x \right )-y\right ) {y^{\prime }}^{2}-\left (1+y \cos \left (x \right ) \cot \left (x \right )\right ) y^{\prime }+y = 0 \]	[_quadrature]	✓

5174	\[ {}{y^{\prime }}^{3}+\left (2 x -y^{2}\right ) {y^{\prime }}^{2}-2 x y^{2} y^{\prime } = 0 \]	[_quadrature]	✓

5175	\[ {}{y^{\prime }}^{3}-\left (2 x +y^{2}\right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2} = 0 \]	[_quadrature]	✓

5176	\[ {}{y^{\prime }}^{3}-\left (x^{2}+y x +y^{2}\right ) {y^{\prime }}^{2}+x y \left (x^{2}+y x +y^{2}\right ) y^{\prime }-x^{3} y^{3} = 0 \]	[_quadrature]	✓

5177	\[ {}{y^{\prime }}^{3}-\left (x^{2}+x y^{2}+y^{4}\right ) {y^{\prime }}^{2}+x y^{2} \left (x^{2}+x y^{2}+y^{4}\right ) y^{\prime }-x^{3} y^{6} = 0 \]	[_quadrature]	✓

5179	\[ {}2 {y^{\prime }}^{3}+{y^{\prime }}^{2}-y = 0 \]	[_quadrature]	✓

5181	\[ {}4 {y^{\prime }}^{3}+4 y^{\prime } = x \]	[_quadrature]	✓

5184	\[ {}x {y^{\prime }}^{3}-\left (x +x^{2}+y\right ) {y^{\prime }}^{2}+\left (x^{2}+y+y x \right ) y^{\prime }-y x = 0 \]	[_quadrature]	✓

5190	\[ {}\left (a^{2}-x^{2}\right ) {y^{\prime }}^{3}+b x \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}-y^{\prime }-b x = 0 \]	[_quadrature]	✓

5197	\[ {}\left (x +2 y\right ) {y^{\prime }}^{3}+3 \left (x +y\right ) {y^{\prime }}^{2}+\left (2 x +y\right ) y^{\prime } = 0 \]	[_quadrature]	✓

5205	\[ {}{y^{\prime }}^{4} = \left (y-a \right )^{3} \left (y-b \right )^{2} \]	[_quadrature]	✓

5211	\[ {}{y^{\prime }}^{4}+4 y {y^{\prime }}^{3}+6 y^{2} {y^{\prime }}^{2}-\left (1-4 y^{3}\right ) y^{\prime }-\left (3-y^{3}\right ) y = 0 \]	[_quadrature]	✓

5212	\[ {}2 {y^{\prime }}^{4}-y y^{\prime }-2 = 0 \]	[_quadrature]	✓

5214	\[ {}3 {y^{\prime }}^{5}-y y^{\prime }+1 = 0 \]	[_quadrature]	✓

5215	\[ {}{y^{\prime }}^{6} = \left (y-a \right )^{4} \left (y-b \right )^{3} \]	[_quadrature]	✓

5223	\[ {}\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } = x \]	[_quadrature]	✓

5224	\[ {}\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } = y \]	[_quadrature]	✓

5225	\[ {}\sqrt {1+{y^{\prime }}^{2}} = y^{\prime } x \]	[_quadrature]	✓

5232	\[ {}a \cos \left (y^{\prime }\right )+b y^{\prime }+x = 0 \]	[_quadrature]	✓

5233	\[ {}\sin \left (y^{\prime }\right )+y^{\prime } = x \]	[_quadrature]	✓

5234	\[ {}y^{\prime } \sin \left (y^{\prime }\right )+\cos \left (y^{\prime }\right ) = y \]	[_quadrature]	✓

5238	\[ {}{\mathrm e}^{y^{\prime }-y}-{y^{\prime }}^{2}+1 = 0 \]	[_quadrature]	✓

5239	\[ {}\ln \left (y^{\prime }\right )+y^{\prime } x +a = 0 \]	[_quadrature]	✓

5256	\[ {}y^{2} \left (1+{y^{\prime }}^{2}\right ) = R^{2} \]	[_quadrature]	✓

5310	\[ {}{y^{\prime }}^{2}-5 y^{\prime }+6 = 0 \]	[_quadrature]	✓

5311	\[ {}{y^{\prime }}^{2}-\frac {a^{2}}{x^{2}} = 0 \]	[_quadrature]	✓

5312	\[ {}{y^{\prime }}^{2} = \frac {1-x}{x} \]	[_quadrature]	✓

5314	\[ {}y = a y^{\prime }+b {y^{\prime }}^{2} \]	[_quadrature]	✓

5315	\[ {}x = a y^{\prime }+b {y^{\prime }}^{2} \]	[_quadrature]	✓

5316	\[ {}y = \sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } \]	[_quadrature]	✓

5317	\[ {}x = \sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } \]	[_quadrature]	✓

5318	\[ {}y^{\prime }-\frac {\sqrt {1+{y^{\prime }}^{2}}}{x} = 0 \]	[_quadrature]	✓

5319	\[ {}x^{2} \left (1+{y^{\prime }}^{2}\right )^{3}-a^{2} = 0 \]	[_quadrature]	✓

5320	\[ {}1+{y^{\prime }}^{2} = \frac {\left (x +a \right )^{2}}{2 a x +x^{2}} \]	[_quadrature]	✓

5347	\[ {}x +y+1+\left (2 x +2 y+2\right ) y^{\prime } = 0 \]	[_quadrature]	✓

5400	\[ {}y^{\prime }+a y = b \]	[_quadrature]	✓

5588	\[ {}{y^{\prime }}^{2} \left (-x^{2}+1\right )+1 = 0 \]	[_quadrature]	✓

5596	\[ {}y^{\prime }+b^{2} y^{2} = a^{2} \]	[_quadrature]	✓

5652	\[ {}y^{\prime } = y \]	[_quadrature]	✓

5657	\[ {}x y y^{\prime }-y x = y \] i.c.	[_quadrature]	✓

5661	\[ {}\left (1+y\right ) y^{\prime } = y \] i.c.	[_quadrature]	✓

5663	\[ {}2 y^{\prime } = 3 \left (y-2\right )^{{1}/{3}} \] i.c.	[_quadrature]	✓

5817	\[ {}y^{\prime } = 4 y^{2}-3 y+1 \]	[_quadrature]	✓

5829	\[ {}x^{\prime }-x^{3} = x \]	[_quadrature]	✓

5842	\[ {}y^{\prime } = {\mathrm e}^{x^{2}} \] i.c.	[_quadrature]	✓

5846	\[ {}y^{\prime } = y^{{1}/{3}} \]	[_quadrature]	✓

5847	\[ {}y^{\prime } = y^{{1}/{3}} \] i.c.	[_quadrature]	✓

5853	\[ {}y^{\prime } = y^{2}-3 y+2 \] i.c.	[_quadrature]	✓

5881	\[ {}u^{\prime } = \alpha \left (1-u\right )-\beta u \]	[_quadrature]	✓

5979	\[ {}y^{\prime } x = x^{2}+2 x -3 \]	[_quadrature]	✓

5983	\[ {}x^{2} y^{\prime } = x^{3} \sin \left (3 x \right )+4 \]	[_quadrature]	✓

6179	\[ {}1-\sqrt {a^{2}-x^{2}}\, y^{\prime } = 0 \]	[_quadrature]	✓

6228	\[ {}x {y^{\prime }}^{2}+\left (y-1-x^{2}\right ) y^{\prime }-x \left (-1+y\right ) = 0 \]	[_quadrature]	✓

6240	\[ {}y = 2 y^{\prime }+\sqrt {1+{y^{\prime }}^{2}} \]	[_quadrature]	✓

6246	\[ {}\left (3 y-1\right )^{2} {y^{\prime }}^{2} = 4 y \]	[_quadrature]	✓

6249	\[ {}y \left (3-4 y\right )^{2} {y^{\prime }}^{2} = 4-4 y \]	[_quadrature]	✓

6625	\[ {}y^{\prime } = 3 y^{{2}/{3}} \] i.c.	[_quadrature]	✓

6629	\[ {}\left (1+z^{\prime }\right ) {\mathrm e}^{-z} = 1 \]	[_quadrature]	✓

6642	\[ {}x^{\prime }+t = 1 \]	[_quadrature]	✓

6675	\[ {}y^{\prime } \left (y^{\prime }+y\right ) = x \left (x +y\right ) \] i.c.	[_quadrature]	✓

6751	\[ {}{y^{\prime }}^{2}-a^{2} y^{2} = 0 \]	[_quadrature]	✓

6752	\[ {}{y^{\prime }}^{2} = 4 x^{2} \]	[_quadrature]	✓

6780	\[ {}{y^{\prime }}^{2} = a^{2}-y^{2} \]	[_quadrature]	✓

6816	\[ {}y^{\prime } = {\mathrm e}^{3 x}+\sin \left (x \right ) \]	[_quadrature]	✓

6824	\[ {}y^{\prime }+5 y = 2 \]	[_quadrature]	✓

6826	\[ {}y^{\prime } = k y \]	[_quadrature]	✓

6827	\[ {}y^{\prime }-2 y = 1 \]	[_quadrature]	✓

6833	\[ {}L y^{\prime }+R y = E \]	[_quadrature]	✓

6845	\[ {}y^{\prime } = 1+y \] i.c.	[_quadrature]	✓

6846	\[ {}y^{\prime } = 1+y^{2} \] i.c.	[_quadrature]	✓

6847	\[ {}y^{\prime } = 1+y^{2} \] i.c.	[_quadrature]	✓

6972	\[ {}y^{\prime } = y^{2} \] i.c.	[_quadrature]	✓

6973	\[ {}y^{\prime } = 2 \sqrt {y} \] i.c.	[_quadrature]	✓

6974	\[ {}y^{\prime } = 2 \sqrt {y} \] i.c.	[_quadrature]	✓

7009	\[ {}y^{\prime } = 2 x \]	[_quadrature]	✓

7012	\[ {}y^{\prime } = k y \]	[_quadrature]	✓

7022	\[ {}1+y^{2}+y^{2} y^{\prime } = 0 \]	[_quadrature]	✓

7023	\[ {}y^{\prime } = {\mathrm e}^{3 x}-x \]	[_quadrature]	✓

7024	\[ {}y^{\prime } = x \,{\mathrm e}^{x^{2}} \]	[_quadrature]	✓

7025	\[ {}\left (x +1\right ) y^{\prime } = x \]	[_quadrature]	✓

7026	\[ {}\left (x^{2}+1\right ) y^{\prime } = x \]	[_quadrature]	✓

7027	\[ {}\left (x^{2}+1\right ) y^{\prime } = \arctan \left (x \right ) \]	[_quadrature]	✓

7028	\[ {}y^{\prime } x = 1 \]	[_quadrature]	✓

7029	\[ {}y^{\prime } = \arcsin \left (x \right ) \]	[_quadrature]	✓

7030	\[ {}y^{\prime } \sin \left (x \right ) = 1 \]	[_quadrature]	✓

7031	\[ {}\left (x^{3}+1\right ) y^{\prime } = x \]	[_quadrature]	✓

7032	\[ {}\left (x^{2}-3 x +2\right ) y^{\prime } = x \]	[_quadrature]	✓

7033	\[ {}y^{\prime } = x \,{\mathrm e}^{x} \] i.c.	[_quadrature]	✓

7034	\[ {}y^{\prime } = 2 \sin \left (x \right ) \cos \left (x \right ) \] i.c.	[_quadrature]	✓

7035	\[ {}y^{\prime } = \ln \left (x \right ) \] i.c.	[_quadrature]	✓

7036	\[ {}\left (x^{2}-1\right ) y^{\prime } = 1 \] i.c.	[_quadrature]	✓

7037	\[ {}x \left (x^{2}-4\right ) y^{\prime } = 1 \] i.c.	[_quadrature]	✓

7038	\[ {}\left (x +1\right ) \left (x^{2}+1\right ) y^{\prime } = 2 x^{2}+x \] i.c.	[_quadrature]	✓

7311	\[ {}y^{\prime }+y = 1 \]	[_quadrature]	✓

7313	\[ {}y^{\prime }-y = 2 \]	[_quadrature]	✓

7315	\[ {}y^{\prime }+y = 0 \]	[_quadrature]	✓

7317	\[ {}y^{\prime }-y = 0 \]	[_quadrature]	✓

7672	\[ {}x {y^{\prime }}^{2}-\left (2 x +3 y\right ) y^{\prime }+6 y = 0 \]	[_quadrature]	✓

7675	\[ {}x {y^{\prime }}^{2}+\left (1-x^{2} y\right ) y^{\prime }-y x = 0 \]	[_quadrature]	✓

7676	\[ {}{y^{\prime }}^{2}-\left (x^{2} y+3\right ) y^{\prime }+3 x^{2} y = 0 \]	[_quadrature]	✓

7677	\[ {}x {y^{\prime }}^{2}-\left (1+y x \right ) y^{\prime }+y = 0 \]	[_quadrature]	✓

7680	\[ {}y {y^{\prime }}^{2}+\left (x -y^{2}\right ) y^{\prime }-y x = 0 \]	[_quadrature]	✓

7682	\[ {}\left (4 x -y\right ) {y^{\prime }}^{2}+6 \left (x -y\right ) y^{\prime }+2 x -5 y = 0 \]	[_quadrature]	✓

7684	\[ {}x y {y^{\prime }}^{2}+\left (-1+x y^{2}\right ) y^{\prime }-y = 0 \]	[_quadrature]	✓

7688	\[ {}x {y^{\prime }}^{3}-\left (x +x^{2}+y\right ) {y^{\prime }}^{2}+\left (x^{2}+y+y x \right ) y^{\prime }-y x = 0 \]	[_quadrature]	✓

7689	\[ {}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0 \]	[_quadrature]	✓

7770	\[ {}6 x {y^{\prime }}^{2}-\left (3 x +2 y\right ) y^{\prime }+y = 0 \]	[_quadrature]	✓

7775	\[ {}y^{2} {y^{\prime }}^{2}-\left (x +1\right ) y y^{\prime }+x = 0 \]	[_quadrature]	✓

7781	\[ {}x {y^{\prime }}^{2}-\left (x^{2}+1\right ) y^{\prime }+x = 0 \]	[_quadrature]	✓

7789	\[ {}x {y^{\prime }}^{2}+\left (1-x \right ) y y^{\prime }-y^{2} = 0 \]	[_quadrature]	✓

7953	\[ {}y^{\prime } = 1+y \]	[_quadrature]	✓

7954	\[ {}y^{\prime } = x +1 \]	[_quadrature]	✓

7955	\[ {}y^{\prime } = x \]	[_quadrature]	✓

7956	\[ {}y^{\prime } = y \]	[_quadrature]	✓

7957	\[ {}y^{\prime } = 0 \]	[_quadrature]	✓

7958	\[ {}y^{\prime } = 1+\frac {\sec \left (x \right )}{x} \]	[_quadrature]	✓

7963	\[ {}y^{\prime } = \frac {1}{x} \]	[_quadrature]	✓

7966	\[ {}y^{\prime } = \sqrt {\frac {1+y}{y^{2}}} \] i.c.	[_quadrature]	✓

7972	\[ {}\left (x +y\right ) y^{\prime } = 0 \]	[_quadrature]	✓

7973	\[ {}y^{\prime } x = 0 \]	[_quadrature]	✓

7974	\[ {}\frac {y^{\prime }}{x +y} = 0 \]	[_quadrature]	✓

7975	\[ {}\frac {y^{\prime }}{x} = 0 \]	[_quadrature]	✓

7976	\[ {}y^{\prime } = 0 \]	[_quadrature]	✓

7980	\[ {}y^{\prime } = \frac {1}{1-y} \] i.c.	[_quadrature]	✓

7981	\[ {}p^{\prime } = a p-b p^{2} \] i.c.	[_quadrature]	✓

7994	\[ {}f^{\prime } = \frac {1}{f} \]	[_quadrature]	✓

8025	\[ {}x^{\prime } = 4 A k \left (\frac {x}{A}\right )^{{3}/{4}}-3 k x \]	[_quadrature]	✓

8030	\[ {}y^{\prime } = 2 \sqrt {y} \] i.c.	[_quadrature]	✓

8032	\[ {}y^{\prime } = \sqrt {1-y^{2}} \]	[_quadrature]	✓

8096	\[ {}w^{\prime } = -\frac {1}{2}-\frac {\sqrt {1-12 w}}{2} \] i.c.	[_quadrature]	✓

8188	\[ {}y^{\prime } = y \left (1-y^{2}\right ) \]	[_quadrature]	✓

8212	\[ {}h^{2}+\frac {2 a h}{\sqrt {1+{h^{\prime }}^{2}}} = b^{2} \]	[_quadrature]	✓

8221	\[ {}y^{\prime } = 0 \]	[_quadrature]	✓

8222	\[ {}y^{\prime } = a \]	[_quadrature]	✓

8223	\[ {}y^{\prime } = x \]	[_quadrature]	✓

8224	\[ {}y^{\prime } = 1 \]	[_quadrature]	✓

8225	\[ {}y^{\prime } = a x \]	[_quadrature]	✓

8229	\[ {}y^{\prime } = y \]	[_quadrature]	✓

8230	\[ {}y^{\prime } = b y \]	[_quadrature]	✓

8232	\[ {}c y^{\prime } = 0 \]	[_quadrature]	✓

8233	\[ {}c y^{\prime } = a \]	[_quadrature]	✓

8234	\[ {}c y^{\prime } = a x \]	[_quadrature]	✓

8237	\[ {}c y^{\prime } = y \]	[_quadrature]	✓

8238	\[ {}c y^{\prime } = b y \]	[_quadrature]	✓

8244	\[ {}a \sin \left (x \right ) y x y^{\prime } = 0 \]	[_quadrature]	✓

8245	\[ {}f \left (x \right ) \sin \left (x \right ) y x y^{\prime } \pi = 0 \]	[_quadrature]	✓

8251	\[ {}y^{\prime } x = 0 \]	[_quadrature]	✓

8252	\[ {}5 y^{\prime } = 0 \]	[_quadrature]	✓

8253	\[ {}{\mathrm e} y^{\prime } = 0 \]	[_quadrature]	✓

8254	\[ {}\pi y^{\prime } = 0 \]	[_quadrature]	✓

8255	\[ {}y^{\prime } \sin \left (x \right ) = 0 \]	[_quadrature]	✓

8256	\[ {}f \left (x \right ) y^{\prime } = 0 \]	[_quadrature]	✓

8257	\[ {}y^{\prime } x = 1 \]	[_quadrature]	✓

8258	\[ {}y^{\prime } x = \sin \left (x \right ) \]	[_quadrature]	✓

8259	\[ {}\left (x -1\right ) y^{\prime } = 0 \]	[_quadrature]	✓

8260	\[ {}y y^{\prime } = 0 \]	[_quadrature]	✓

8261	\[ {}x y y^{\prime } = 0 \]	[_quadrature]	✓

8262	\[ {}x y \sin \left (x \right ) y^{\prime } = 0 \]	[_quadrature]	✓

8263	\[ {}\pi y \sin \left (x \right ) y^{\prime } = 0 \]	[_quadrature]	✓

8264	\[ {}x \sin \left (x \right ) y^{\prime } = 0 \]	[_quadrature]	✓

8265	\[ {}x \sin \left (x \right ) {y^{\prime }}^{2} = 0 \]	[_quadrature]	✓

8266	\[ {}y {y^{\prime }}^{2} = 0 \]	[_quadrature]	✓

8267	\[ {}{y^{\prime }}^{n} = 0 \]	[_quadrature]	✓

8268	\[ {}x {y^{\prime }}^{n} = 0 \]	[_quadrature]	✓

8269	\[ {}{y^{\prime }}^{2} = x \]	[_quadrature]	✓

8342	\[ {}y^{3} {y^{\prime \prime }}^{2}+y y^{\prime } = 0 \]	[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]	✓

8344	\[ {}y {y^{\prime \prime }}^{3}+y^{3} y^{\prime } = 0 \]	[[_2nd_order, _missing_x]]	✓

8345	\[ {}y {y^{\prime \prime }}^{3}+y^{3} {y^{\prime }}^{5} = 0 \]	[[_2nd_order, _missing_x]]	✓

8393	\[ {}y^{\prime } = y^{{1}/{3}} \] i.c.	[_quadrature]	✓

9237	\[ {}y^{\prime }-\frac {1}{\sqrt {\operatorname {a4} \,x^{4}+\operatorname {a3} \,x^{3}+\operatorname {a2} \,x^{2}+\operatorname {a1} x +\operatorname {a0}}} = 0 \]	[_quadrature]	✓

9248	\[ {}y^{\prime }+y^{2}-1 = 0 \]	[_quadrature]	✓

9253	\[ {}y^{\prime }-y^{2}-3 y+4 = 0 \]	[_quadrature]	✓

9259	\[ {}y^{\prime }+a y^{2}-b = 0 \]	[_quadrature]	✓

9262	\[ {}y^{\prime }-\left (A y-a \right ) \left (B y-b \right ) = 0 \]	[_quadrature]	✓

9275	\[ {}y^{\prime }-\operatorname {a3} y^{3}-\operatorname {a2} y^{2}-\operatorname {a1} y-\operatorname {a0} = 0 \]	[_quadrature]	✓

9293	\[ {}y^{\prime }-\sqrt {{\| y\|}} = 0 \]	[_quadrature]	✓

9295	\[ {}y^{\prime }-a \sqrt {1+y^{2}}-b = 0 \]	[_quadrature]	✓

9312	\[ {}y^{\prime }-a \cos \left (y\right )+b = 0 \]	[_quadrature]	✓

9325	\[ {}y^{\prime } x -\sqrt {a^{2}-x^{2}} = 0 \]	[_quadrature]	✓

9444	\[ {}y y^{\prime }-\sqrt {a y^{2}+b} = 0 \]	[_quadrature]	✓

9595	\[ {}y^{\prime } \cos \left (a y\right )-b \left (1-c \cos \left (a y\right )\right ) \sqrt {\cos \left (a y\right )^{2}-1+c \cos \left (a y\right )} = 0 \]	[_quadrature]	✓

9604	\[ {}{y^{\prime }}^{2}+y^{2}-a^{2} = 0 \]	[_quadrature]	✓

9606	\[ {}{y^{\prime }}^{2}-y^{3}+y^{2} = 0 \]	[_quadrature]	✓

9607	\[ {}{y^{\prime }}^{2}-4 y^{3}+a y+b = 0 \]	[_quadrature]	✓

9608	\[ {}{y^{\prime }}^{2}+a^{2} y^{2} \left (\ln \left (y\right )^{2}-1\right ) = 0 \]	[_quadrature]	✓

9609	\[ {}{y^{\prime }}^{2}-2 y^{\prime }-y^{2} = 0 \]	[_quadrature]	✓

9610	\[ {}{y^{\prime }}^{2}+a y^{\prime }+b x = 0 \]	[_quadrature]	✓

9611	\[ {}{y^{\prime }}^{2}+a y^{\prime }+b y = 0 \]	[_quadrature]	✓

9617	\[ {}{y^{\prime }}^{2}+a x y^{\prime }-b \,x^{2}-c = 0 \]	[_quadrature]	✓

9624	\[ {}{y^{\prime }}^{2}-\left (1+4 y\right ) y^{\prime }+\left (1+4 y\right ) y = 0 \]	[_quadrature]	✓

9626	\[ {}{y^{\prime }}^{2}+\left (b x +a y\right ) y^{\prime }+a b x y = 0 \]	[_quadrature]	✓

9630	\[ {}{y^{\prime }}^{2}+y \left (-x +y\right ) y^{\prime }-x y^{3} = 0 \]	[_separable]	✓

9637	\[ {}a {y^{\prime }}^{2}+b y^{\prime }-y = 0 \]	[_quadrature]	✓

9668	\[ {}y^{\prime }-1 = 0 \]	[_quadrature]	✓

9678	\[ {}x^{2} {y^{\prime }}^{2}+\left (a \,x^{2} y^{3}+b \right ) y^{\prime }+a b y^{3} = 0 \]	[_quadrature]	✓

9680	\[ {}\left (x^{2}-1\right ) {y^{\prime }}^{2}-1 = 0 \]	[_quadrature]	✓

9691	\[ {}x^{2} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-1 = 0 \]	[_quadrature]	✓

9695	\[ {}y {y^{\prime }}^{2}-1 = 0 \]	[_quadrature]	✓

9704	\[ {}y {y^{\prime }}^{2}-\left (-x +y\right ) y^{\prime }-x = 0 \]	[_quadrature]	✓

9711	\[ {}\left (b +a y\right ) \left (1+{y^{\prime }}^{2}\right )-c = 0 \]	[_quadrature]	✓

9719	\[ {}y^{2} {y^{\prime }}^{2}-a^{2}+y^{2} = 0 \]	[_quadrature]	✓

9725	\[ {}\left (y^{2}-a^{2}\right ) {y^{\prime }}^{2}+y^{2} = 0 \]	[_quadrature]	✓

9731	\[ {}\left (3 y-2\right ) {y^{\prime }}^{2}-4+4 y = 0 \]	[_quadrature]	✓

9747	\[ {}{y^{\prime }}^{2} \left (a \cos \left (y\right )+b \right )-c \cos \left (y\right )+d = 0 \]	[_quadrature]	✓

9751	\[ {}{y^{\prime }}^{3}-\left (y-a \right )^{2} \left (y-b \right )^{2} = 0 \]	[_quadrature]	✓

9753	\[ {}{y^{\prime }}^{3}+y^{\prime }-y = 0 \]	[_quadrature]	✓

9756	\[ {}{y^{\prime }}^{3}-a x y^{\prime }+x^{3} = 0 \]	[_quadrature]	✓

9757	\[ {}{y^{\prime }}^{3}-2 y y^{\prime }+y^{2} = 0 \]	[_quadrature]	✓

9759	\[ {}{y^{\prime }}^{3}-\left (x^{2}+y x +y^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+x^{2} y^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3} = 0 \]	[_quadrature]	✓

9763	\[ {}{y^{\prime }}^{3}-y {y^{\prime }}^{2}+y^{2} = 0 \]	[_quadrature]	✓

9765	\[ {}a {y^{\prime }}^{3}+b {y^{\prime }}^{2}+c y^{\prime }-y-d = 0 \]	[_quadrature]	✓

9769	\[ {}\left (-a^{2}+x^{2}\right ) {y^{\prime }}^{3}+b x \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}+y^{\prime }+b x = 0 \]	[_quadrature]	✓

9772	\[ {}{y^{\prime }}^{3} \sin \left (x \right )-\left (y \sin \left (x \right )-\cos \left (x \right )^{2}\right ) {y^{\prime }}^{2}-\left (y \cos \left (x \right )^{2}+\sin \left (x \right )\right ) y^{\prime }+y \sin \left (x \right ) = 0 \]	[_quadrature]	✓

9773	\[ {}2 y {y^{\prime }}^{3}-y {y^{\prime }}^{2}+2 y^{\prime } x -x = 0 \]	[_quadrature]	✓

9778	\[ {}{y^{\prime }}^{4}-\left (y-a \right )^{3} \left (y-b \right )^{2} = 0 \]	[_quadrature]	✓

9781	\[ {}{y^{\prime }}^{6}-\left (y-a \right )^{4} \left (y-b \right )^{3} = 0 \]	[_quadrature]	✓

9782	\[ {}x^{2} \left (1+{y^{\prime }}^{2}\right )^{3}-a^{2} = 0 \]	[_quadrature]	✓

9786	\[ {}a {y^{\prime }}^{m}+b {y^{\prime }}^{n}-y = 0 \]	[_quadrature]	✓

9799	\[ {}\sin \left (y^{\prime }\right )+y^{\prime }-x = 0 \]	[_quadrature]	✓

9800	\[ {}a \cos \left (y^{\prime }\right )+b y^{\prime }+x = 0 \]	[_quadrature]	✓

9801	\[ {}{y^{\prime }}^{2} \sin \left (y^{\prime }\right )-y = 0 \]	[_quadrature]	✓

10806	\[ {}x \left (a y^{\prime }+b y^{\prime \prime }+c y^{\prime \prime \prime }+e y^{\prime \prime \prime \prime }\right ) y = 0 \]	[[_high_order, _missing_x]]	✓

11067	\[ {}2 y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime }}^{2} = 0 \]	[[_3rd_order, _missing_x]]	✓

11223	\[ {}y^{\prime } = f \left (x \right ) \]	[_quadrature]	✓

11224	\[ {}y^{\prime } = f \left (y\right ) \]	[_quadrature]	✓

11548	\[ {}y y^{\prime }-y = A \]	[_quadrature]	✓

12098	\[ {}{y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+y x = 0 \]	[_quadrature]	✓

12100	\[ {}{y^{\prime }}^{2}+y^{2} = 1 \]	[_quadrature]	✓

12102	\[ {}\left (x^{2}+1\right ) {y^{\prime }}^{2} = 1 \]	[_quadrature]	✓

12103	\[ {}{y^{\prime }}^{3}-\left (2 x +y^{2}\right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2} = 0 \]	[_quadrature]	✓

12123	\[ {}y^{2} \left (1+{y^{\prime }}^{2}\right ) = a^{2} \]	[_quadrature]	✓

12137	\[ {}x^{2} {y^{\prime }}^{2}-\left (x -1\right )^{2} = 0 \]	[_quadrature]	✓

12139	\[ {}4 {y^{\prime }}^{2} = 9 x \]	[_quadrature]	✓

12140	\[ {}y \left (3-4 y\right )^{2} {y^{\prime }}^{2} = 4-4 y \]	[_quadrature]	✓

12249	\[ {}x^{\prime } = -x^{2} \]	[_quadrature]	✓

12251	\[ {}x^{\prime } = {\mathrm e}^{-x} \]	[_quadrature]	✓

12256	\[ {}x^{\prime } = x \left (1-\frac {x}{4}\right ) \]	[_quadrature]	✓

12258	\[ {}x^{\prime } = t \cos \left (t^{2}\right ) \] i.c.	[_quadrature]	✓

12259	\[ {}x^{\prime } = \frac {1+t}{\sqrt {t}} \] i.c.	[_quadrature]	✓

12261	\[ {}x^{\prime } = t \,{\mathrm e}^{-2 t} \]	[_quadrature]	✓

12262	\[ {}x^{\prime } = \frac {1}{t \ln \left (t \right )} \]	[_quadrature]	✓

12263	\[ {}\sqrt {t}\, x^{\prime } = \cos \left (\sqrt {t}\right ) \]	[_quadrature]	✓

12264	\[ {}x^{\prime } = \frac {{\mathrm e}^{-t}}{\sqrt {t}} \] i.c.	[_quadrature]	✓

12266	\[ {}x^{\prime } = \sqrt {x} \] i.c.	[_quadrature]	✓

12267	\[ {}x^{\prime } = {\mathrm e}^{-2 x} \] i.c.	[_quadrature]	✓

12268	\[ {}y^{\prime } = 1+y^{2} \]	[_quadrature]	✓

12269	\[ {}u^{\prime } = \frac {1}{5-2 u} \]	[_quadrature]	✓

12270	\[ {}x^{\prime } = a x+b \]	[_quadrature]	✓

12271	\[ {}Q^{\prime } = \frac {Q}{4+Q^{2}} \]	[_quadrature]	✓

12272	\[ {}x^{\prime } = {\mathrm e}^{x^{2}} \]	[_quadrature]	✓

12273	\[ {}y^{\prime } = r \left (a -y\right ) \]	[_quadrature]	✓

12278	\[ {}y^{\prime }+y+\frac {1}{y} = 0 \]	[_quadrature]	✓

12280	\[ {}y^{\prime } = \frac {1}{2 y+1} \] i.c.	[_quadrature]	✓

12284	\[ {}x^{\prime } = x \left (4+x\right ) \] i.c.	[_quadrature]	✓

12320	\[ {}x^{\prime } = a x+b \]	[_quadrature]	✓

12326	\[ {}x^{\prime } = a x+b x^{3} \]	[_quadrature]	✓

12482	\[ {}{y^{\prime }}^{2}-4 y = 0 \]	[_quadrature]	✓

12493	\[ {}y^{\prime } = y^{{1}/{3}} \] i.c.	[_quadrature]	✓

12866	\[ {}x^{\prime } = \sin \left (t \right )+\cos \left (t \right ) \]	[_quadrature]	✓

12867	\[ {}y^{\prime } = \frac {1}{x^{2}-1} \]	[_quadrature]	✓

12868	\[ {}u^{\prime } = 4 t \ln \left (t \right ) \]	[_quadrature]	✓

12869	\[ {}z^{\prime } = x \,{\mathrm e}^{-2 x} \]	[_quadrature]	✓

12870	\[ {}T^{\prime } = {\mathrm e}^{-t} \sin \left (2 t \right ) \]	[_quadrature]	✓

12871	\[ {}x^{\prime } = \sec \left (t \right )^{2} \] i.c.	[_quadrature]	✓

12872	\[ {}y^{\prime } = x -\frac {1}{3} x^{3} \] i.c.	[_quadrature]	✓

12873	\[ {}x^{\prime } = 2 \sin \left (t \right )^{2} \] i.c.	[_quadrature]	✓

12874	\[ {}x V^{\prime } = x^{2}+1 \] i.c.	[_quadrature]	✓

12876	\[ {}x^{\prime } = -x+1 \]	[_quadrature]	✓

12877	\[ {}x^{\prime } = x \left (2-x\right ) \]	[_quadrature]	✓

12878	\[ {}x^{\prime } = \left (x+1\right ) \left (2-x\right ) \sin \left (x\right ) \]	[_quadrature]	✓

12879	\[ {}x^{\prime } = -x \left (-x+1\right ) \left (2-x\right ) \]	[_quadrature]	✓

12880	\[ {}x^{\prime } = x^{2}-x^{4} \]	[_quadrature]	✓

12884	\[ {}x^{\prime } = -x^{2} \]	[_quadrature]	✓

12886	\[ {}x^{\prime }+p x = q \]	[_quadrature]	✓

12889	\[ {}x^{\prime } = \lambda x \]	[_quadrature]	✓

12890	\[ {}m v^{\prime } = -m g +k v^{2} \]	[_quadrature]	✓

12891	\[ {}x^{\prime } = k x-x^{2} \] i.c.	[_quadrature]	✓

12892	\[ {}x^{\prime } = -x \left (k^{2}+x^{2}\right ) \] i.c.	[_quadrature]	✓

12911	\[ {}x^{\prime } = k x-x^{2} \]	[_quadrature]	✓

13021	\[ {}{y^{\prime }}^{2} = 9 y^{4} \]	[_quadrature]	✓

13023	\[ {}x^{2}+{y^{\prime }}^{2} = 1 \]	[_quadrature]	✓

13025	\[ {}x = {y^{\prime }}^{3}-y^{\prime }+2 \]	[_quadrature]	✓

13027	\[ {}y = {y^{\prime }}^{4}-{y^{\prime }}^{3}-2 \]	[_quadrature]	✓

13028	\[ {}{y^{\prime }}^{2}+y^{2} = 4 \]	[_quadrature]	✓

13035	\[ {}{y^{\prime }}^{3}-y^{\prime } {\mathrm e}^{2 x} = 0 \]	[_quadrature]	✓

13048	\[ {}y \left (1+{y^{\prime }}^{2}\right ) = a \]	[_quadrature]	✓

13128	\[ {}y y^{\prime } = 1 \]	[_quadrature]	✓

13381	\[ {}y = y y^{\prime }+y^{\prime }-{y^{\prime }}^{2} \]	[_quadrature]	✓

13477	\[ {}y^{\prime }+\frac {1}{2 y} = 0 \]	[_quadrature]	✓

13479	\[ {}y^{\prime }-2 \sqrt {{\| y\|}} = 0 \]	[_quadrature]	✓

13481	\[ {}y^{\prime }-y^{2} = 1 \]	[_quadrature]	✓

13483	\[ {}y^{\prime } x -\sin \left (x \right ) = 0 \]	[_quadrature]	✓

13484	\[ {}y^{\prime }+3 y = 0 \]	[_quadrature]	✓

13492	\[ {}{y^{\prime }}^{2}-4 y = 0 \]	[_quadrature]	✓

13494	\[ {}{y^{\prime }}^{2} = x^{6} \]	[_quadrature]	✓

13500	\[ {}y^{\prime } = 3 y^{{2}/{3}} \]	[_quadrature]	✓

13513	\[ {}y^{\prime } = 1-x \]	[_quadrature]	✓

13514	\[ {}y^{\prime } = x -1 \]	[_quadrature]	✓

13515	\[ {}y^{\prime } = 1-y \]	[_quadrature]	✓

13516	\[ {}y^{\prime } = 1+y \]	[_quadrature]	✓

13517	\[ {}y^{\prime } = y^{2}-4 \]	[_quadrature]	✓

13518	\[ {}y^{\prime } = 4-y^{2} \]	[_quadrature]	✓

13527	\[ {}y^{\prime } = 1+y^{2} \]	[_quadrature]	✓

13528	\[ {}y^{\prime } = y^{2}-3 y \]	[_quadrature]	✓

13530	\[ {}y^{\prime } = {\| y\|} \]	[_quadrature]	✓

13538	\[ {}y^{\prime } = \ln \left (-1+y\right ) \]	[_quadrature]	✓

13539	\[ {}y^{\prime } = \sqrt {\left (2+y\right ) \left (-1+y\right )} \]	[_quadrature]	✓

13547	\[ {}y^{\prime } = 4 y-5 \] i.c.	[_quadrature]	✓

13548	\[ {}y^{\prime }+3 y = 1 \] i.c.	[_quadrature]	✓

13549	\[ {}y^{\prime } = b +a y \] i.c.	[_quadrature]	✓

13550	\[ {}y^{\prime } = x^{2}+{\mathrm e}^{x}-\sin \left (x \right ) \] i.c.	[_quadrature]	✓

13559	\[ {}y^{\prime } = 3 x +1 \] i.c.	[_quadrature]	✓

13560	\[ {}y^{\prime } = x +\frac {1}{x} \] i.c.	[_quadrature]	✓

13561	\[ {}y^{\prime } = 2 \sin \left (x \right ) \] i.c.	[_quadrature]	✓

13562	\[ {}y^{\prime } = x \sin \left (x \right ) \] i.c.	[_quadrature]	✓

13563	\[ {}y^{\prime } = \frac {1}{x -1} \] i.c.	[_quadrature]	✓

13564	\[ {}y^{\prime } = \frac {1}{x -1} \] i.c.	[_quadrature]	✓

13565	\[ {}y^{\prime } = \frac {1}{x^{2}-1} \] i.c.	[_quadrature]	✓

13566	\[ {}y^{\prime } = \frac {1}{x^{2}-1} \] i.c.	[_quadrature]	✓

13567	\[ {}y^{\prime } = \tan \left (x \right ) \] i.c.	[_quadrature]	✓

13568	\[ {}y^{\prime } = \tan \left (x \right ) \] i.c.	[_quadrature]	✓

13569	\[ {}y^{\prime } = 3 y \] i.c.	[_quadrature]	✓

13570	\[ {}y^{\prime } = 1-y \] i.c.	[_quadrature]	✓

13571	\[ {}y^{\prime } = 1-y \] i.c.	[_quadrature]	✓

13575	\[ {}y^{\prime } = -2 y+y^{2} \] i.c.	[_quadrature]	✓

13579	\[ {}2 y y^{\prime } = 1 \]	[_quadrature]	✓

13584	\[ {}y^{\prime } = 1+4 y \] i.c.	[_quadrature]	✓

13597	\[ {}y^{\prime } = \frac {1}{x -1} \] i.c.	[_quadrature]	✓

13604	\[ {}y^{\prime } = y^{2} \] i.c.	[_quadrature]	✓

13605	\[ {}y^{\prime } = y^{2} \] i.c.	[_quadrature]	✓

13606	\[ {}y^{\prime } = y^{2} \] i.c.	[_quadrature]	✓

13607	\[ {}y^{\prime } = y^{3} \] i.c.	[_quadrature]	✓

13608	\[ {}y^{\prime } = y^{3} \] i.c.	[_quadrature]	✓

13609	\[ {}y^{\prime } = y^{3} \] i.c.	[_quadrature]	✓

13624	\[ {}y^{\prime } = \sqrt {\left (2+y\right ) \left (-1+y\right )} \] i.c.	[_quadrature]	✓

13671	\[ {}y^{\prime }-i y = 0 \] i.c.	[_quadrature]	✓

13766	\[ {}y^{\prime } = 2 y+1 \]	[_quadrature]	✓

13767	\[ {}y^{\prime } = 2-y \]	[_quadrature]	✓

13768	\[ {}y^{\prime } = {\mathrm e}^{-y} \]	[_quadrature]	✓

13769	\[ {}x^{\prime } = 1+x^{2} \]	[_quadrature]	✓

13774	\[ {}y^{\prime } = \frac {1}{2 y+1} \]	[_quadrature]	✓

13776	\[ {}y^{\prime } = y \left (1-y\right ) \]	[_quadrature]	✓

13781	\[ {}y^{\prime } = y^{2}-4 \]	[_quadrature]	✓

13783	\[ {}y^{\prime } = \sec \left (y\right ) \]	[_quadrature]	✓

13786	\[ {}y^{\prime } = -y^{2} \] i.c.	[_quadrature]	✓

13788	\[ {}y^{\prime } = -y^{2} \] i.c.	[_quadrature]	✓

13790	\[ {}y^{\prime } = 2 y+1 \] i.c.	[_quadrature]	✓

13793	\[ {}y^{\prime } = \frac {1-y^{2}}{y} \] i.c.	[_quadrature]	✓

13795	\[ {}y^{\prime } = \frac {1}{2 y+3} \] i.c.	[_quadrature]	✓

13797	\[ {}y^{\prime } = \frac {y^{2}+5}{y} \] i.c.	[_quadrature]	✓

13798	\[ {}y^{\prime } = t^{2}+t \]	[_quadrature]	✓

13799	\[ {}y^{\prime } = t^{2}+1 \]	[_quadrature]	✓

13800	\[ {}y^{\prime } = 1-2 y \]	[_quadrature]	✓

13801	\[ {}y^{\prime } = 4 y^{2} \]	[_quadrature]	✓

13802	\[ {}y^{\prime } = 2 y \left (1-y\right ) \]	[_quadrature]	✓

13804	\[ {}y^{\prime } = 3 y \left (1-y\right ) \] i.c.	[_quadrature]	✓

13808	\[ {}S^{\prime } = S^{3}-2 S^{2}+S \] i.c.	[_quadrature]	✓

13809	\[ {}S^{\prime } = S^{3}-2 S^{2}+S \] i.c.	[_quadrature]	✓

13810	\[ {}S^{\prime } = S^{3}-2 S^{2}+S \] i.c.	[_quadrature]	✓

13811	\[ {}S^{\prime } = S^{3}-2 S^{2}+S \] i.c.	[_quadrature]	✓

13812	\[ {}S^{\prime } = S^{3}-2 S^{2}+S \] i.c.	[_quadrature]	✓

13813	\[ {}y^{\prime } = y^{2}+y \]	[_quadrature]	✓

13814	\[ {}y^{\prime } = y^{2}-y \]	[_quadrature]	✓

13815	\[ {}y^{\prime } = y^{3}+y^{2} \]	[_quadrature]	✓

13816	\[ {}y^{\prime } = -t^{2}+2 \]	[_quadrature]	✓

13820	\[ {}y^{\prime } = t^{2}-2 \]	[_quadrature]	✓

13821	\[ {}\theta ^{\prime } = \frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \]	[_quadrature]	✓

13822	\[ {}\theta ^{\prime } = 2 \]	[_quadrature]	✓

13823	\[ {}\theta ^{\prime } = \frac {11}{10}-\frac {9 \cos \left (\theta \right )}{10} \]	[_quadrature]	✓

13824	\[ {}v^{\prime } = -\frac {v}{R C} \]	[_quadrature]	✓

13825	\[ {}v^{\prime } = \frac {K -v}{R C} \]	[_quadrature]	✓

13827	\[ {}y^{\prime } = 2 y+1 \] i.c.	[_quadrature]	✓

13830	\[ {}y^{\prime } = \sin \left (y\right ) \] i.c.	[_quadrature]	✓

13831	\[ {}w^{\prime } = \left (3-w\right ) \left (w+1\right ) \] i.c.	[_quadrature]	✓

13832	\[ {}w^{\prime } = \left (3-w\right ) \left (w+1\right ) \] i.c.	[_quadrature]	✓

13833	\[ {}y^{\prime } = {\mathrm e}^{\frac {2}{y}} \] i.c.	[_quadrature]	✓

13834	\[ {}y^{\prime } = {\mathrm e}^{\frac {2}{y}} \] i.c.	[_quadrature]	✓

13835	\[ {}y^{\prime } = y^{2}-y^{3} \] i.c.	[_quadrature]	✓

13837	\[ {}y^{\prime } = \sqrt {y} \] i.c.	[_quadrature]	✓

13838	\[ {}y^{\prime } = 2-y \] i.c.	[_quadrature]	✓

13839	\[ {}\theta ^{\prime } = \frac {9}{10}-\frac {11 \cos \left (\theta \right )}{10} \] i.c.	[_quadrature]	✓

13840	\[ {}y^{\prime } = y \left (y-1\right ) \left (y-3\right ) \] i.c.	[_quadrature]	✓

13841	\[ {}y^{\prime } = y \left (y-1\right ) \left (y-3\right ) \] i.c.	[_quadrature]	✓

13842	\[ {}y^{\prime } = y \left (y-1\right ) \left (y-3\right ) \] i.c.	[_quadrature]	✓

13843	\[ {}y^{\prime } = y \left (y-1\right ) \left (y-3\right ) \] i.c.	[_quadrature]	✓

13844	\[ {}y^{\prime } = -y^{2} \]	[_quadrature]	✓

13845	\[ {}y^{\prime } = y^{3} \] i.c.	[_quadrature]	✓

13847	\[ {}y^{\prime } = \frac {1}{\left (y+2\right )^{2}} \] i.c.	[_quadrature]	✓

13849	\[ {}y^{\prime } = 3 y \left (-2+y\right ) \] i.c.	[_quadrature]	✓

13850	\[ {}y^{\prime } = 3 y \left (-2+y\right ) \] i.c.	[_quadrature]	✓

13851	\[ {}y^{\prime } = 3 y \left (-2+y\right ) \] i.c.	[_quadrature]	✓

13852	\[ {}y^{\prime } = 3 y \left (-2+y\right ) \] i.c.	[_quadrature]	✓

13853	\[ {}y^{\prime } = y^{2}-4 y-12 \] i.c.	[_quadrature]	✓

13854	\[ {}y^{\prime } = y^{2}-4 y-12 \] i.c.	[_quadrature]	✓

13855	\[ {}y^{\prime } = y^{2}-4 y-12 \] i.c.	[_quadrature]	✓

13856	\[ {}y^{\prime } = y^{2}-4 y-12 \] i.c.	[_quadrature]	✓

13857	\[ {}y^{\prime } = \cos \left (y\right ) \] i.c.	[_quadrature]	✓

13858	\[ {}y^{\prime } = \cos \left (y\right ) \] i.c.	[_quadrature]	✓

13859	\[ {}y^{\prime } = \cos \left (y\right ) \] i.c.	[_quadrature]	✓

13860	\[ {}y^{\prime } = \cos \left (y\right ) \] i.c.	[_quadrature]	✓

13861	\[ {}w^{\prime } = w \cos \left (w\right ) \]	[_quadrature]	✓

13862	\[ {}w^{\prime } = w \cos \left (w\right ) \] i.c.	[_quadrature]	✓

13863	\[ {}w^{\prime } = w \cos \left (w\right ) \] i.c.	[_quadrature]	✓

13864	\[ {}w^{\prime } = w \cos \left (w\right ) \] i.c.	[_quadrature]	✓

13865	\[ {}w^{\prime } = w \cos \left (w\right ) \] i.c.	[_quadrature]	✓

13866	\[ {}w^{\prime } = \left (1-w\right ) \sin \left (w\right ) \]	[_quadrature]	✓

13867	\[ {}y^{\prime } = \frac {1}{-2+y} \]	[_quadrature]	✓

13868	\[ {}v^{\prime } = -v^{2}-2 v-2 \]	[_quadrature]	✓

13869	\[ {}w^{\prime } = 3 w^{3}-12 w^{2} \]	[_quadrature]	✓

13870	\[ {}y^{\prime } = 1+\cos \left (y\right ) \]	[_quadrature]	✓

13871	\[ {}y^{\prime } = \tan \left (y\right ) \]	[_quadrature]	✓

13872	\[ {}y^{\prime } = y \ln \left ({\| y\|}\right ) \]	[_quadrature]	✓

13873	\[ {}w^{\prime } = \left (w^{2}-2\right ) \arctan \left (w\right ) \]	[_quadrature]	✓

13874	\[ {}y^{\prime } = y^{2}-4 y+2 \] i.c.	[_quadrature]	✓

13875	\[ {}y^{\prime } = y^{2}-4 y+2 \] i.c.	[_quadrature]	✓

13876	\[ {}y^{\prime } = y^{2}-4 y+2 \] i.c.	[_quadrature]	✓

13877	\[ {}y^{\prime } = y^{2}-4 y+2 \] i.c.	[_quadrature]	✓

13878	\[ {}y^{\prime } = y^{2}-4 y+2 \] i.c.	[_quadrature]	✓

13879	\[ {}y^{\prime } = y^{2}-4 y+2 \] i.c.	[_quadrature]	✓

13880	\[ {}y^{\prime } = y \cos \left (\frac {\pi y}{2}\right ) \]	[_quadrature]	✓

13881	\[ {}y^{\prime } = y-y^{2} \]	[_quadrature]	✓

13882	\[ {}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right ) \]	[_quadrature]	✓

13883	\[ {}y^{\prime } = y^{3}-y^{2} \]	[_quadrature]	✓

13884	\[ {}y^{\prime } = \cos \left (\frac {\pi y}{2}\right ) \]	[_quadrature]	✓

13885	\[ {}y^{\prime } = y^{2}-y \]	[_quadrature]	✓

13886	\[ {}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right ) \]	[_quadrature]	✓

13887	\[ {}y^{\prime } = y^{2}-y^{3} \]	[_quadrature]	✓

13927	\[ {}y^{\prime } = 3 y \]	[_quadrature]	✓

13928	\[ {}y^{\prime } = t^{2} \left (t^{2}+1\right ) \]	[_quadrature]	✓

13929	\[ {}y^{\prime } = -\sin \left (y\right )^{5} \]	[_quadrature]	✓

13931	\[ {}y^{\prime } = \sin \left (y\right )^{2} \]	[_quadrature]	✓

13934	\[ {}y^{\prime } = 3-2 y \]	[_quadrature]	✓

13940	\[ {}y^{\prime } = 3+y^{2} \]	[_quadrature]	✓

13941	\[ {}y^{\prime } = 2 y-y^{2} \]	[_quadrature]	✓

13951	\[ {}y^{\prime } = 1-y^{2} \] i.c.	[_quadrature]	✓

13953	\[ {}y^{\prime } = y^{2}-2 y+1 \] i.c.	[_quadrature]	✓

13958	\[ {}y^{\prime } = 3-y^{2} \] i.c.	[_quadrature]	✓

14141	\[ {}y^{\prime } = 3-\sin \left (x \right ) \]	[_quadrature]	✓

14142	\[ {}y^{\prime } = 3-\sin \left (y\right ) \]	[_quadrature]	✓

14144	\[ {}y^{\prime } x = \arcsin \left (x^{2}\right ) \]	[_quadrature]	✓

14151	\[ {}y^{\prime } = 4 x^{3} \]	[_quadrature]	✓

14152	\[ {}y^{\prime } = 20 \,{\mathrm e}^{-4 x} \]	[_quadrature]	✓

14153	\[ {}y^{\prime } x +\sqrt {x} = 2 \]	[_quadrature]	✓

14154	\[ {}\sqrt {x +4}\, y^{\prime } = 1 \]	[_quadrature]	✓

14155	\[ {}y^{\prime } = x \cos \left (x^{2}\right ) \]	[_quadrature]	✓

14156	\[ {}y^{\prime } = \cos \left (x \right ) x \]	[_quadrature]	✓

14157	\[ {}x = \left (x^{2}-9\right ) y^{\prime } \]	[_quadrature]	✓

14158	\[ {}1 = \left (x^{2}-9\right ) y^{\prime } \]	[_quadrature]	✓

14159	\[ {}1 = x^{2}-9 y^{\prime } \]	[_quadrature]	✓

14163	\[ {}y^{\prime } = 40 x \,{\mathrm e}^{2 x} \] i.c.	[_quadrature]	✓

14164	\[ {}\left (x +6\right )^{{1}/{3}} y^{\prime } = 1 \] i.c.	[_quadrature]	✓

14165	\[ {}y^{\prime } = \frac {x -1}{x +1} \] i.c.	[_quadrature]	✓

14166	\[ {}y^{\prime } x +2 = \sqrt {x} \] i.c.	[_quadrature]	✓

14167	\[ {}\cos \left (x \right ) y^{\prime }-\sin \left (x \right ) = 0 \] i.c.	[_quadrature]	✓

14168	\[ {}\left (x^{2}+1\right ) y^{\prime } = 1 \] i.c.	[_quadrature]	✓

14170	\[ {}y^{\prime } = \sin \left (\frac {x}{2}\right ) \]	[_quadrature]	✓

14171	\[ {}y^{\prime } = \sin \left (\frac {x}{2}\right ) \] i.c.	[_quadrature]	✓

14172	\[ {}y^{\prime } = \sin \left (\frac {x}{2}\right ) \] i.c.	[_quadrature]	✓

14173	\[ {}y^{\prime } = 3 \sqrt {x +3} \]	[_quadrature]	✓

14174	\[ {}y^{\prime } = 3 \sqrt {x +3} \] i.c.	[_quadrature]	✓

14175	\[ {}y^{\prime } = 3 \sqrt {x +3} \] i.c.	[_quadrature]	✓

14176	\[ {}y^{\prime } = 3 \sqrt {x +3} \] i.c.	[_quadrature]	✓

14177	\[ {}y^{\prime } = x \,{\mathrm e}^{-x^{2}} \] i.c.	[_quadrature]	✓

14178	\[ {}y^{\prime } = \frac {x}{\sqrt {x^{2}+5}} \] i.c.	[_quadrature]	✓

14179	\[ {}y^{\prime } = \frac {1}{x^{2}+1} \] i.c.	[_quadrature]	✓

14180	\[ {}y^{\prime } = {\mathrm e}^{-9 x^{2}} \] i.c.	[_quadrature]	✓

14181	\[ {}y^{\prime } x = \sin \left (x \right ) \] i.c.	[_quadrature]	✓

14182	\[ {}y^{\prime } x = \sin \left (x^{2}\right ) \] i.c.	[_quadrature]	✓

14183	\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <0 \\ 1 & 0\le x \end {array}\right . \] i.c.	[_quadrature]	✓

14184	\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x \end {array}\right . \] i.c.	[_quadrature]	✓

14185	\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x <2 \\ 0 & 2\le x \end {array}\right . \] i.c.	[_quadrature]	✓

14188	\[ {}y^{\prime }-y^{3} = 8 \]	[_quadrature]	✓

14191	\[ {}y^{3}-25 y+y^{\prime } = 0 \]	[_quadrature]	✓

14194	\[ {}y^{\prime }+2 y-y^{2} = -2 \]	[_quadrature]	✓

14196	\[ {}y^{\prime } = 2 \sqrt {y} \] i.c.	[_quadrature]	✓

14200	\[ {}y^{\prime } = \sqrt {x^{2}+1} \]	[_quadrature]	✓

14201	\[ {}y^{\prime }+4 y = 8 \]	[_quadrature]	✓

14208	\[ {}y^{\prime } = y^{2}+9 \]	[_quadrature]	✓

14218	\[ {}y^{\prime }-4 y = 2 \]	[_quadrature]	✓

14220	\[ {}y^{\prime } = \sin \left (y\right ) \]	[_quadrature]	✓

14222	\[ {}y^{\prime } = 200 y-2 y^{2} \]	[_quadrature]	✓

14226	\[ {}y^{\prime } = \tan \left (y\right ) \]	[_quadrature]	✓

14231	\[ {}y^{\prime } = {\mathrm e}^{-y} \]	[_quadrature]	✓

14232	\[ {}y^{\prime } = {\mathrm e}^{-y}+1 \]	[_quadrature]	✓

14237	\[ {}y^{\prime } = 200 y-2 y^{2} \]	[_quadrature]	✓

14238	\[ {}y^{\prime }-2 y = -10 \] i.c.	[_quadrature]	✓

14250	\[ {}y^{\prime } = 4 y+8 \]	[_quadrature]	✓

14251	\[ {}y^{\prime }-{\mathrm e}^{2 x} = 0 \]	[_quadrature]	✓

14253	\[ {}y^{\prime }+4 y = y^{3} \]	[_quadrature]	✓

14255	\[ {}y^{\prime }+2 y = 6 \]	[_quadrature]	✓

14265	\[ {}y^{\prime }-3 y = 6 \] i.c.	[_quadrature]	✓

14266	\[ {}y^{\prime }-3 y = 6 \] i.c.	[_quadrature]	✓

14282	\[ {}y^{\prime }+3 y = 3 y^{3} \]	[_quadrature]	✓

14325	\[ {}x^{2} y^{\prime }-\sqrt {x} = 3 \]	[_quadrature]	✓

14335	\[ {}\left (y^{2}-4\right ) y^{\prime } = y \]	[_quadrature]	✓

14336	\[ {}\left (x^{2}-4\right ) y^{\prime } = x \]	[_quadrature]	✓

14341	\[ {}\sin \left (x \right )+2 \cos \left (x \right ) y^{\prime } = 0 \]	[_quadrature]	✓

14349	\[ {}y^{2}+1-y^{\prime } = 0 \]	[_quadrature]	✓

14352	\[ {}\left (x +2\right ) y^{\prime }-x^{3} = 0 \]	[_quadrature]	✓

14362	\[ {}y^{\prime }+2 x = \sin \left (x \right ) \]	[_quadrature]	✓

14946	\[ {}{y^{\prime }}^{2}+y = 0 \]	[_quadrature]	✓

14950	\[ {}2 x -1-y^{\prime } = 0 \]	[_quadrature]	✓

14952	\[ {}y^{\prime }+2 y = 0 \]	[_quadrature]	✓

14969	\[ {}y^{\prime } = \left (x^{2}-1\right ) \left (x^{3}-3 x \right )^{3} \]	[_quadrature]	✓

14970	\[ {}y^{\prime } = x \sin \left (x^{2}\right ) \]	[_quadrature]	✓

14971	\[ {}y^{\prime } = \frac {x}{\sqrt {x^{2}-16}} \]	[_quadrature]	✓

14972	\[ {}y^{\prime } = \frac {1}{x \ln \left (x \right )} \]	[_quadrature]	✓

14973	\[ {}y^{\prime } = x \ln \left (x \right ) \]	[_quadrature]	✓

14974	\[ {}y^{\prime } = x \,{\mathrm e}^{-x} \]	[_quadrature]	✓

14975	\[ {}y^{\prime } = \frac {-2 x -10}{\left (x +2\right ) \left (x -4\right )} \]	[_quadrature]	✓

14976	\[ {}y^{\prime } = \frac {-x^{2}+x}{\left (x +1\right ) \left (x^{2}+1\right )} \]	[_quadrature]	✓

14977	\[ {}y^{\prime } = \frac {\sqrt {x^{2}-16}}{x} \]	[_quadrature]	✓

14978	\[ {}y^{\prime } = \left (-x^{2}+4\right )^{{3}/{2}} \]	[_quadrature]	✓

14979	\[ {}y^{\prime } = \frac {1}{x^{2}-16} \]	[_quadrature]	✓

14980	\[ {}y^{\prime } = \cos \left (x \right ) \cot \left (x \right ) \]	[_quadrature]	✓

14981	\[ {}y^{\prime } = \sin \left (x \right )^{3} \tan \left (x \right ) \]	[_quadrature]	✓

14982	\[ {}y^{\prime }+2 y = 0 \] i.c.	[_quadrature]	✓

14990	\[ {}y^{\prime } = 4 x^{3}-x +2 \] i.c.	[_quadrature]	✓

14991	\[ {}y^{\prime } = \sin \left (2 t \right )-\cos \left (2 t \right ) \] i.c.	[_quadrature]	✓

14992	\[ {}y^{\prime } = \frac {\cos \left (\frac {1}{x}\right )}{x^{2}} \] i.c.	[_quadrature]	✓

14993	\[ {}y^{\prime } = \frac {\ln \left (x \right )}{x} \] i.c.	[_quadrature]	✓

15000	\[ {}y^{\prime } = \sin \left (x \right )^{4} \] i.c.	[_quadrature]	✓

15014	\[ {}y^{\prime } = x \,{\mathrm e}^{-x^{2}} \]	[_quadrature]	✓

15015	\[ {}y^{\prime } = \sin \left (x \right ) x^{2} \]	[_quadrature]	✓

15016	\[ {}y^{\prime } = \frac {2 x^{2}-x +1}{\left (x -1\right ) \left (x^{2}+1\right )} \]	[_quadrature]	✓

15017	\[ {}y^{\prime } = \frac {x^{2}}{\sqrt {x^{2}-1}} \]	[_quadrature]	✓

15021	\[ {}y^{\prime } = \cos \left (x \right )^{2} \sin \left (x \right ) \] i.c.	[_quadrature]	✓

15022	\[ {}y^{\prime } = \frac {4 x -9}{3 \left (x -3\right )^{{2}/{3}}} \] i.c.	[_quadrature]	✓

15026	\[ {}y^{\prime } = y^{{1}/{5}} \] i.c.	[_quadrature]	✓

15030	\[ {}y^{\prime } = 6 y^{{2}/{3}} \] i.c.	[_quadrature]	✓

15033	\[ {}y^{\prime } = \frac {1}{t^{2}+1} \] i.c.	[_quadrature]	✓

15035	\[ {}y^{\prime } = \sqrt {-1+y^{2}} \] i.c.	[_quadrature]	✓

15037	\[ {}y^{\prime } = \sqrt {-1+y^{2}} \] i.c.	[_quadrature]	✓

15038	\[ {}y^{\prime } = \sqrt {25-y^{2}} \] i.c.	[_quadrature]	✓

15039	\[ {}y^{\prime } = \sqrt {25-y^{2}} \] i.c.	[_quadrature]	✓

15040	\[ {}y^{\prime } = \sqrt {25-y^{2}} \] i.c.	[_quadrature]	✓

15041	\[ {}y^{\prime } = \sqrt {25-y^{2}} \] i.c.	[_quadrature]	✓

15052	\[ {}y^{\prime } = y^{2} \] i.c.	[_quadrature]	✓

15055	\[ {}y^{\prime } = -y^{3} \] i.c.	[_quadrature]	✓

15059	\[ {}y^{\prime } = \frac {1+y^{2}}{y} \]	[_quadrature]	✓

15068	\[ {}y^{\prime }+k y = 0 \]	[_quadrature]	✓

15087	\[ {}y^{\prime } = y^{2}-3 y+2 \]	[_quadrature]	✓

15090	\[ {}y^{\prime } = y^{3}+1 \]	[_quadrature]	✓

15091	\[ {}y^{\prime } = y^{3}-1 \]	[_quadrature]	✓

15092	\[ {}y^{\prime } = y^{3}+y \]	[_quadrature]	✓

15093	\[ {}y^{\prime } = y^{3}-y^{2} \]	[_quadrature]	✓

15094	\[ {}y^{\prime } = y^{3}-y \]	[_quadrature]	✓

15095	\[ {}y^{\prime } = y^{3}+y \]	[_quadrature]	✓

15096	\[ {}y^{\prime } = x^{3} \] i.c.	[_quadrature]	✓

15097	\[ {}y^{\prime } = \cos \left (t \right ) \] i.c.	[_quadrature]	✓

15098	\[ {}1 = \cos \left (y\right ) y^{\prime } \] i.c.	[_quadrature]	✓

15099	\[ {}\sin \left (y \right )^{2} = x^{\prime } \] i.c.	[_quadrature]	✓

15104	\[ {}y^{\prime } = \frac {y}{\ln \left (y\right )} \] i.c.	[_quadrature]	✓

15105	\[ {}y^{\prime } = t \sin \left (t^{2}\right ) \] i.c.	[_quadrature]	✓

15106	\[ {}y^{\prime } = \frac {1}{x^{2}+1} \] i.c.	[_quadrature]	✓

15120	\[ {}y^{\prime } = \left (3 y+1\right )^{4} \]	[_quadrature]	✓

15121	\[ {}y^{\prime } = 3 y \]	[_quadrature]	✓

15122	\[ {}y^{\prime } = -y \]	[_quadrature]	✓

15123	\[ {}y^{\prime } = y^{2}-y \]	[_quadrature]	✓

15124	\[ {}y^{\prime } = 16 y-8 y^{2} \]	[_quadrature]	✓

15125	\[ {}y^{\prime } = 12+4 y-y^{2} \]	[_quadrature]	✓

15127	\[ {}y^{\prime }-y = 10 \]	[_quadrature]	✓

15195	\[ {}3 t^{2}-y^{\prime } = 0 \]	[_quadrature]	✓

15196	\[ {}-1+3 y^{2} y^{\prime } = 0 \]	[_quadrature]	✓

15237	\[ {}2 t +2 y+\left (2 t +2 y\right ) y^{\prime } = 0 \]	[_quadrature]	✓

15318	\[ {}y^{\prime }+y = 5 \]	[_quadrature]	✓

15828	\[ {}y^{\prime } = y+3 y^{{1}/{3}} \]	[_quadrature]	✓

15831	\[ {}y^{\prime } = \sqrt {1-y^{2}} \]	[_quadrature]	✓

15834	\[ {}y^{\prime } = 1-\cot \left (y\right ) \]	[_quadrature]	✓

15840	\[ {}y^{\prime } = x +1 \]	[_quadrature]	✓

15844	\[ {}y^{\prime } = \left (-1+y\right )^{2} \]	[_quadrature]	✓

15852	\[ {}y^{\prime } = 1-x \]	[_quadrature]	✓

15856	\[ {}y^{\prime } = 1 \]	[_quadrature]	✓

15857	\[ {}y^{\prime } = \frac {1}{x} \]	[_quadrature]	✓

15858	\[ {}y^{\prime } = y \]	[_quadrature]	✓

15859	\[ {}y^{\prime } = y^{2} \]	[_quadrature]	✓

15871	\[ {}{\mathrm e}^{-y} y^{\prime } = 1 \]	[_quadrature]	✓

15884	\[ {}\cos \left (y^{\prime }\right ) = 0 \]	[_quadrature]	✓

15885	\[ {}{\mathrm e}^{y^{\prime }} = 1 \]	[_quadrature]	✓

15886	\[ {}\sin \left (y^{\prime }\right ) = x \]	[_quadrature]	✓

15887	\[ {}\ln \left (y^{\prime }\right ) = x \]	[_quadrature]	✓

15888	\[ {}\tan \left (y^{\prime }\right ) = 0 \]	[_quadrature]	✓

15889	\[ {}{\mathrm e}^{y^{\prime }} = x \]	[_quadrature]	✓

15890	\[ {}\tan \left (y^{\prime }\right ) = x \]	[_quadrature]	✓

15895	\[ {}{\mathrm e}^{y} = {\mathrm e}^{4 y} y^{\prime }+1 \]	[_quadrature]	✓

15979	\[ {}4 {y^{\prime }}^{2}-9 x = 0 \]	[_quadrature]	✓

15981	\[ {}{y^{\prime }}^{2}-2 y^{\prime } x -8 x^{2} = 0 \]	[_quadrature]	✓

15983	\[ {}{y^{\prime }}^{2}-\left (2 x +y\right ) y^{\prime }+x^{2}+y x = 0 \]	[_quadrature]	✓

15985	\[ {}{y^{\prime }}^{3} = y {y^{\prime }}^{2}-x^{2} y^{\prime }+x^{2} y \]	[_quadrature]	✓

15988	\[ {}y = {y^{\prime }}^{2} {\mathrm e}^{y^{\prime }} \]	[_quadrature]	✓

15989	\[ {}y^{\prime } = {\mathrm e}^{\frac {y^{\prime }}{y}} \]	[_quadrature]	✓

15991	\[ {}x = {y^{\prime }}^{2}-2 y^{\prime }+2 \]	[_quadrature]	✓

15992	\[ {}y = y^{\prime } \ln \left (y^{\prime }\right ) \]	[_quadrature]	✓

15993	\[ {}y = \left (y^{\prime }-1\right ) {\mathrm e}^{y^{\prime }} \]	[_quadrature]	✓

15994	\[ {}x {y^{\prime }}^{2} = {\mathrm e}^{\frac {1}{y^{\prime }}} \]	[_quadrature]	✓

15995	\[ {}x \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} = a \]	[_quadrature]	✓

15997	\[ {}x = y^{\prime }+\sin \left (y^{\prime }\right ) \]	[_quadrature]	✓

15998	\[ {}y = y^{\prime } \left (1+y^{\prime } \cos \left (y^{\prime }\right )\right ) \]	[_quadrature]	✓

16015	\[ {}{y^{\prime }}^{2}-4 y = 0 \]	[_quadrature]	✓

16017	\[ {}{y^{\prime }}^{2}-y^{2} = 0 \]	[_quadrature]	✓

16018	\[ {}y^{\prime } = y^{{2}/{3}}+a \]	[_quadrature]	✓

16022	\[ {}\left (y^{\prime }-1\right )^{2} = y^{2} \]	[_quadrature]	✓

16025	\[ {}y^{2} {y^{\prime }}^{2}+y^{2} = 1 \]	[_quadrature]	✓

16038	\[ {}x^{2}+y^{\prime } x = 3 x +y^{\prime } \]	[_quadrature]	✓

16072	\[ {}{y^{\prime }}^{4} = 1 \]	[_quadrature]	✓

2.3.15 ﬁrst order ode quadrature