Problems 14301 to 14400

Table 6.287: Main lookup table sequentially arranged


#	ODE	Mathematica	Maple	Sympy

14301	\[ {} y^{\prime } = \frac {\sqrt {y}}{x} \]	✓	✓	✓

14302	\[ {} y^{\prime } = \frac {x y}{1-y} \]	✓	✓	✓

14303	\[ {} y^{\prime } = \left (x y\right )^{{1}/{3}} \]	✓	✓	✗

14304	\[ {} y^{\prime } = \sqrt {\frac {y-4}{x}} \]	✓	✓	✓

14305	\[ {} y^{\prime } = -\frac {y}{x}+y^{{1}/{4}} \]	✓	✓	✓

14306	\[ {} y^{\prime } = 4 y-5 \]	✓	✓	✓

14307	\[ {} y^{\prime }+3 y = 1 \]	✓	✓	✓

14308	\[ {} y^{\prime } = a y+b \]	✓	✓	✓

14309	\[ {} y^{\prime } = x^{2}+{\mathrm e}^{x}-\sin \left (x \right ) \]	✓	✓	✓

14310	\[ {} y^{\prime } = x y+\frac {1}{x^{2}+1} \]	✓	✓	✓

14311	\[ {} y^{\prime } = \frac {y}{x}+\cos \left (x \right ) \]	✓	✓	✓

14312	\[ {} y^{\prime } = \frac {y}{x}+\tan \left (x \right ) \]	✓	✓	✓

14313	\[ {} y^{\prime } = \frac {y}{-x^{2}+4}+\sqrt {x} \]	✓	✓	✗

14314	\[ {} y^{\prime } = \frac {y}{-x^{2}+4}+\sqrt {x} \]	✓	✓	✗

14315	\[ {} y^{\prime } = \cot \left (x \right ) y+\csc \left (x \right ) \]	✓	✓	✓

14316	\[ {} y^{\prime } = -x \sqrt {1-y^{2}} \]	✓	✓	✓

14317	\[ {} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \]	✓	✓	✓

14318	\[ {} y^{\prime } = 3 x +1 \]	✓	✓	✓

14319	\[ {} y^{\prime } = x +\frac {1}{x} \]	✓	✓	✓

14320	\[ {} y^{\prime } = 2 \sin \left (x \right ) \]	✓	✓	✓

14321	\[ {} y^{\prime } = x \sin \left (x \right ) \]	✓	✓	✓

14322	\[ {} y^{\prime } = \frac {1}{x -1} \]	✓	✓	✓

14323	\[ {} y^{\prime } = \frac {1}{x -1} \]	✓	✓	✓

14324	\[ {} y^{\prime } = \frac {1}{x^{2}-1} \]	✓	✓	✓

14325	\[ {} y^{\prime } = \frac {1}{x^{2}-1} \]	✓	✓	✓

14326	\[ {} y^{\prime } = \tan \left (x \right ) \]	✓	✓	✓

14327	\[ {} y^{\prime } = \tan \left (x \right ) \]	✓	✓	✓

14328	\[ {} y^{\prime } = 3 y \]	✓	✓	✓

14329	\[ {} y^{\prime } = 1-y \]	✓	✓	✓

14330	\[ {} y^{\prime } = 1-y \]	✓	✓	✓

14331	\[ {} y^{\prime } = x \,{\mathrm e}^{y-x^{2}} \]	✓	✓	✓

14332	\[ {} y^{\prime } = \frac {y}{x} \]	✓	✓	✓

14333	\[ {} y^{\prime } = \frac {2 x}{y} \]	✓	✓	✓

14334	\[ {} y^{\prime } = -2 y+y^{2} \]	✓	✓	✓

14335	\[ {} y^{\prime } = x y+x \]	✓	✓	✓

14336	\[ {} x \,{\mathrm e}^{y}+y^{\prime } = 0 \]	✓	✓	✓

14337	\[ {} y-x^{2} y^{\prime } = 0 \]	✓	✓	✓

14338	\[ {} 2 y y^{\prime } = 1 \]	✓	✓	✓

14339	\[ {} 2 x y y^{\prime }+y^{2} = -1 \]	✓	✓	✓

14340	\[ {} y^{\prime } = \frac {1-x y}{x^{2}} \]	✓	✓	✓

14341	\[ {} y^{\prime } = -\frac {y \left (y+2 x \right )}{x \left (x +2 y\right )} \]	✓	✓	✓

14342	\[ {} y^{\prime } = \frac {y^{2}}{1-x y} \]	✓	✓	✓

14343	\[ {} y^{\prime } = 4 y+1 \]	✓	✓	✓

14344	\[ {} y^{\prime } = x y+2 \]	✓	✓	✓

14345	\[ {} y^{\prime } = \frac {y}{x} \]	✓	✓	✓

14346	\[ {} y^{\prime } = \frac {y}{x -1}+x^{2} \]	✓	✓	✓

14347	\[ {} y^{\prime } = \frac {y}{x}+\sin \left (x^{2}\right ) \]	✓	✓	✓

14348	\[ {} y^{\prime } = \frac {2 y}{x}+{\mathrm e}^{x} \]	✓	✓	✓

14349	\[ {} y^{\prime } = \cot \left (x \right ) y+\sin \left (x \right ) \]	✓	✓	✓

14350	\[ {} x -y y^{\prime } = 0 \]	✓	✓	✓

14351	\[ {} y-x y^{\prime } = 0 \]	✓	✓	✓

14352	\[ {} x^{2}-y+x y^{\prime } = 0 \]	✓	✓	✓

14353	\[ {} x y \left (1-y\right )-2 y^{\prime } = 0 \]	✓	✓	✗

14354	\[ {} x \left (1-y^{3}\right )-3 y^{2} y^{\prime } = 0 \]	✓	✓	✓

14355	\[ {} y \left (2 x -1\right )+x \left (1+x \right ) y^{\prime } = 0 \]	✓	✓	✓

14356	\[ {} y^{\prime } = \frac {1}{x -1} \]	✓	✓	✓

14357	\[ {} y^{\prime } = x +y \]	✓	✓	✓

14358	\[ {} y^{\prime } = \frac {y}{x} \]	✓	✓	✓

14359	\[ {} y^{\prime } = \frac {y}{x} \]	✓	✓	✓

14360	\[ {} y^{\prime } = \frac {y}{-x^{2}+1}+\sqrt {x} \]	✓	✓	✓

14361	\[ {} y^{\prime } = \frac {y}{-x^{2}+1}+\sqrt {x} \]	✓	✓	✓

14362	\[ {} y^{\prime } = \frac {y}{-x^{2}+1}+\sqrt {x} \]	✓	✓	✗

14363	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

14364	\[ {} y^{\prime } = y^{2} \]	✓	✓	✗

14365	\[ {} y^{\prime } = y^{2} \]	✓	✓	✓

14366	\[ {} y^{\prime } = y^{3} \]	✓	✓	✓

14367	\[ {} y^{\prime } = y^{3} \]	✓	✓	✗

14368	\[ {} y^{\prime } = y^{3} \]	✓	✓	✓

14369	\[ {} y^{\prime } = -\frac {3 x^{2}}{2 y} \]	✓	✓	✓

14370	\[ {} y^{\prime } = -\frac {3 x^{2}}{2 y} \]	✓	✓	✓

14371	\[ {} y^{\prime } = -\frac {3 x^{2}}{2 y} \]	✓	✓	✓

14372	\[ {} y^{\prime } = -\frac {3 x^{2}}{2 y} \]	✓	✓	✓

14373	\[ {} y^{\prime } = \frac {\sqrt {y}}{x} \]	✓	✓	✗

14374	\[ {} y^{\prime } = \frac {\sqrt {y}}{x} \]	✓	✓	✓

14375	\[ {} y^{\prime } = \frac {\sqrt {y}}{x} \]	✓	✓	✗

14376	\[ {} y^{\prime } = \frac {\sqrt {y}}{x} \]	✓	✓	✗

14377	\[ {} y^{\prime } = 3 x y^{{1}/{3}} \]	✓	✓	✗

14378	\[ {} y^{\prime } = 3 x y^{{1}/{3}} \]	✓	✓	✗

14379	\[ {} y^{\prime } = 3 x y^{{1}/{3}} \]	✓	✓	✗

14380	\[ {} y^{\prime } = 3 x y^{{1}/{3}} \]	✓	✓	✓

14381	\[ {} y^{\prime } = 3 x y^{{1}/{3}} \]	✓	✓	✗

14382	\[ {} y^{\prime } = \sqrt {\left (y+2\right ) \left (-1+y\right )} \]	✓	✓	✗

14383	\[ {} y^{\prime } = \sqrt {\left (y+2\right ) \left (-1+y\right )} \]	✓	✓	✓

14384	\[ {} y^{\prime } = \sqrt {\left (y+2\right ) \left (-1+y\right )} \]	✓	✓	✗

14385	\[ {} y^{\prime } = \frac {y}{y-x} \]	✓	✓	✓

14386	\[ {} y^{\prime } = \frac {y}{y-x} \]	✓	✓	✓

14387	\[ {} y^{\prime } = \frac {y}{y-x} \]	✓	✓	✓

14388	\[ {} y^{\prime } = \frac {y}{y-x} \]	✓	✓	✓

14389	\[ {} y^{\prime } = \frac {x y}{x^{2}+y^{2}} \]	✓	✓	✓

14390	\[ {} y^{\prime } = \frac {x y}{x^{2}+y^{2}} \]	✓	✓	✗

14391	\[ {} y^{\prime } = \frac {x y}{x^{2}+y^{2}} \]	✓	✓	✓

14392	\[ {} y^{\prime } = x \sqrt {1-y^{2}} \]	✓	✓	✓

14393	\[ {} y^{\prime } = x \sqrt {1-y^{2}} \]	✓	✓	✗

14394	\[ {} y^{\prime } = x \sqrt {1-y^{2}} \]	✓	✓	✗

14395	\[ {} y^{\prime } = x \sqrt {1-y^{2}} \]	✓	✓	✗

14396	\[ {} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \]	✓	✓	✗

14397	\[ {} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \]	✓	✓	✓

14398	\[ {} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \]	✓	✓	✗

14399	\[ {} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \]	✓	✓	✗

14400	\[ {} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2} \]	✓	✓	✓

6.144 Problems 14301 to 14400