| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 23801 |
\begin{align*}
y^{3}+y^{\prime } \sqrt {-x^{2}+1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.964 |
|
| 23802 |
\begin{align*}
\left (1-\sqrt {3}\right ) y^{\prime }+y \sec \left (x \right )&=y^{\sqrt {3}} \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
10.967 |
|
| 23803 |
\begin{align*}
\left (\sin \left (y\right )^{2}+x \cot \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.968 |
|
| 23804 |
\begin{align*}
y^{\prime }&=\frac {t \left (4-y\right ) y}{3} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
10.971 |
|
| 23805 |
\begin{align*}
y \sin \left (\frac {x}{y}\right )+x \cos \left (\frac {x}{y}\right )-1+\left (x \sin \left (\frac {x}{y}\right )-\frac {x^{2} \cos \left (\frac {x}{y}\right )}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
10.980 |
|
| 23806 |
\begin{align*}
x^{\prime \prime \prime }+a x^{\prime \prime }+b x^{\prime }+c x&=0 \\
x \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
10.998 |
|
| 23807 |
\begin{align*}
-y+t y^{\prime }&=\sqrt {y t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.010 |
|
| 23808 |
\begin{align*}
y \left (x -y\right )-x^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.015 |
|
| 23809 |
\begin{align*}
\frac {\tan \left (y\right )}{\cos \left (x \right )}&=\cos \left (x \right ) y^{\prime } \\
y \left (\frac {\pi }{4}\right ) &= \frac {\pi }{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.020 |
|
| 23810 |
\begin{align*}
-x y^{\prime }+y&=a y^{2}+a y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.030 |
|
| 23811 |
\begin{align*}
y^{\prime }&=\frac {\left (y \,{\mathrm e}^{-\frac {x^{2}}{4}} x +2+2 y^{2} {\mathrm e}^{-\frac {x^{2}}{2}}+2 y^{3} {\mathrm e}^{-\frac {3 x^{2}}{4}}\right ) {\mathrm e}^{\frac {x^{2}}{4}}}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.031 |
|
| 23812 |
\begin{align*}
y y^{\prime \prime }&=1+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.035 |
|
| 23813 |
\begin{align*}
{y^{\prime }}^{3}&=\left (a +b y+c y^{2}\right ) f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.040 |
|
| 23814 |
\begin{align*}
\frac {\sqrt {x}\, y^{\prime }}{y}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.043 |
|
| 23815 |
\begin{align*}
\left (x +1\right ) y^{\prime }&=1+y+\left (x +1\right ) \sqrt {y+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.050 |
|
| 23816 |
\begin{align*}
y^{\prime }-\frac {3 y}{x}&=5 x \\
y \left ({\mathrm e}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.053 |
|
| 23817 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime }&=1-y x -3 x^{2}+2 x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.054 |
|
| 23818 |
\begin{align*}
y^{\prime \prime }+\left (a \,x^{n}+b \right ) y^{\prime }+c \left (a \,x^{n}+b -c \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
11.062 |
|
| 23819 |
\begin{align*}
y^{\prime }+p \left (x \right ) y+q \left (x \right ) y^{2}&=r \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
11.063 |
|
| 23820 |
\begin{align*}
y^{\prime } \left (a +\cos \left (\frac {x}{2}\right )^{2}\right )&=y \tan \left (\frac {x}{2}\right ) \left (1+a +\cos \left (\frac {x}{2}\right )^{2}-y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.064 |
|
| 23821 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\cosh \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.066 |
|
| 23822 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-9} \\
y \left (2\right ) &= -3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.066 |
|
| 23823 |
\begin{align*}
y^{\prime }&=x^{2} \sin \left (y\right ) \\
y \left (1\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.070 |
|
| 23824 |
\begin{align*}
1+y^{2} \sin \left (2 x \right )-2 y \cos \left (x \right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.072 |
|
| 23825 |
\begin{align*}
\left (x^{2}+4 y^{2}\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.072 |
|
| 23826 |
\begin{align*}
y^{\prime }+\frac {y \tan \left (x \right )}{2}&=2 y^{3} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.079 |
|
| 23827 |
\begin{align*}
\sin \left (3 x \right )+2 y \cos \left (3 x \right )^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.081 |
|
| 23828 |
\begin{align*}
2 y^{\prime \prime }&=\sin \left (2 y\right ) \\
y \left (0\right ) &= -\frac {\pi }{2} \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
11.084 |
|
| 23829 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+y&=\frac {50}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.088 |
|
| 23830 |
\begin{align*}
y^{\prime }&=\frac {-3+y}{x +y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.090 |
|
| 23831 |
\begin{align*}
x y^{\prime }&={\mathrm e}^{\frac {y}{x}} x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.093 |
|
| 23832 |
\begin{align*}
3 x y^{2} y^{\prime }+y^{3}-2 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.098 |
|
| 23833 |
\begin{align*}
w^{\prime }&=-\frac {1}{2}-\frac {\sqrt {1-12 w}}{2} \\
w \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.108 |
|
| 23834 |
\begin{align*}
3 x^{2}+2 y^{2}+\left (4 y x +6 y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.119 |
|
| 23835 |
\begin{align*}
y^{\prime }&=\tan \left (x \right ) \left (\tan \left (y\right )+\sec \left (x \right ) \sec \left (y\right )\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
11.130 |
|
| 23836 |
\begin{align*}
\sin \left (y\right ) {y^{\prime }}^{2}+2 x y^{\prime } \cos \left (y\right )^{3}-\sin \left (y\right ) \cos \left (y\right )^{4}&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
11.135 |
|
| 23837 |
\begin{align*}
\left (3 x^{2} y^{2}-x \right ) y^{\prime }+2 x y^{3}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.136 |
|
| 23838 |
\begin{align*}
x y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
11.137 |
|
| 23839 |
\begin{align*}
3 {y^{\prime \prime }}^{2}-y^{\prime } y^{\prime \prime \prime }-y^{\prime \prime } {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.147 |
|
| 23840 |
\begin{align*}
y+\left (1+y^{2} {\mathrm e}^{2 x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.151 |
|
| 23841 |
\begin{align*}
y^{\prime }&=\sin \left (\frac {y}{x}\right )-\cos \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.153 |
|
| 23842 |
\begin{align*}
y^{\prime }&=-\frac {2 x}{3}+\sqrt {x^{2}+3 y}+x^{2} \sqrt {x^{2}+3 y}+x^{3} \sqrt {x^{2}+3 y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.155 |
|
| 23843 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }-\sqrt {1-y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.155 |
|
| 23844 |
\begin{align*}
x y y^{\prime }+x^{4}-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.169 |
|
| 23845 |
\begin{align*}
2 x y^{\prime }+y&={y^{\prime }}^{2} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.171 |
|
| 23846 |
\begin{align*}
y^{\prime }&=\left (x -5 y\right )^{{1}/{3}}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.173 |
|
| 23847 |
\begin{align*}
y^{\prime }&=\frac {5 x -y-2}{x +y+4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.174 |
|
| 23848 |
\begin{align*}
y y^{\prime } \sin \left (x \right )^{2}+y^{2} \cos \left (x \right ) \sin \left (x \right )-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.178 |
|
| 23849 |
\begin{align*}
y^{\prime }&=x +\frac {\sec \left (x \right ) y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.180 |
|
| 23850 |
\begin{align*}
y+\left (2 x +\frac {1}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.181 |
|
| 23851 |
\begin{align*}
2 x y y^{\prime }-1-y^{2}&=0 \\
y \left (2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.188 |
|
| 23852 |
\begin{align*}
y^{\prime }+{y^{\prime }}^{3}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.190 |
|
| 23853 |
\begin{align*}
y^{\prime }&=\frac {y+{\mathrm e}^{\frac {x +1}{x -1}} x^{3}+{\mathrm e}^{\frac {x +1}{x -1}} x y^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.190 |
|
| 23854 |
\begin{align*}
y^{\prime }&=y^{2}+a x \tan \left (b x \right )^{m} y+a \tan \left (b x \right )^{m} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.190 |
|
| 23855 |
\begin{align*}
y+2+y \left (x +4\right ) y^{\prime }&=0 \\
y \left (-3\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.194 |
|
| 23856 |
\begin{align*}
y^{\prime }&=\frac {y^{2}+2 y t}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.196 |
|
| 23857 |
\begin{align*}
\sin \left (x \right ) y^{\prime }-x \cos \left (x \right )&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.199 |
|
| 23858 |
\begin{align*}
x^{\prime }&=\frac {t x}{t^{2}+x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.208 |
|
| 23859 |
\begin{align*}
y^{\prime }+2 x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.209 |
|
| 23860 |
\begin{align*}
\left (x^{2}-2 x -8\right ) y^{\prime }&=y^{2}+y-2 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.210 |
|
| 23861 |
\begin{align*}
x \left (x +y\right ) y^{\prime }&=y \left (x -y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.213 |
|
| 23862 |
\begin{align*}
2 \left (1-x \right ) x \left (1-y\right ) \left (x -y\right ) y y^{\prime \prime }&=f \left (x \right ) \left (\left (1-y\right ) \left (x -y\right ) y\right )^{{3}/{2}}-y^{2} \left (1-y^{2}\right )+2 \left (1-y\right ) y \left (x^{2}+y-2 y x \right ) y^{\prime }+\left (1-x \right ) x \left (x -2 y-2 y x +3 y^{2}\right ) {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
11.214 |
|
| 23863 |
\begin{align*}
x y^{2}+y-x +x \left (y x +1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.218 |
|
| 23864 |
\begin{align*}
2 \left (x +1\right ) x y y^{\prime }&=1+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.227 |
|
| 23865 |
\begin{align*}
x^{2}+2 y y^{\prime }&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.228 |
|
| 23866 |
\begin{align*}
2 y^{\prime }+4 {y^{\prime }}^{3}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.232 |
|
| 23867 |
\begin{align*}
2 x \left (y^{\prime }+x^{2} y^{3}\right )+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.237 |
|
| 23868 |
\begin{align*}
x y^{\prime }-y&=\arctan \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.243 |
|
| 23869 |
\begin{align*}
y^{\prime \prime }+\left (a \,x^{n}+2 b \right ) y^{\prime }+\left (a b \,x^{n}-a \,x^{n -1}+b^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
11.245 |
|
| 23870 |
\begin{align*}
x y^{\prime }-y&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.245 |
|
| 23871 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+c \left (\left (a -c \right ) x^{2}+b x +1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.246 |
|
| 23872 |
\begin{align*}
x^{2} y^{\prime }&=\left (1+2 x -y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.255 |
|
| 23873 |
\begin{align*}
y \left (y^{3}-x \right )+x \left (y^{3}+x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.261 |
|
| 23874 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime }-2 x y^{2}&=y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.262 |
|
| 23875 |
\begin{align*}
y^{\prime }-2 y \,{\mathrm e}^{x}&=2 \sqrt {y \,{\mathrm e}^{x}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
11.263 |
|
| 23876 |
\begin{align*}
x^{\prime }&=6 t \left (x-1\right )^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.272 |
|
| 23877 |
\begin{align*}
y^{\prime }+y x&=x^{3} y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.273 |
|
| 23878 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\lambda x} f \left (x \right ) y^{2}+\left (a f \left (x \right )-\lambda \right ) y+b \,{\mathrm e}^{-\lambda x} f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.276 |
|
| 23879 |
\begin{align*}
y^{\prime }&=\frac {-4 y x -x^{3}+4 x^{2}-4 x +8}{8 y+2 x^{2}-8 x +8} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.279 |
|
| 23880 |
\begin{align*}
x^{2}-t^{2} x^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.280 |
|
| 23881 |
\begin{align*}
\left (5+2 x -4 y\right ) y^{\prime }&=x -2 y+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.281 |
|
| 23882 |
\begin{align*}
x \left (y^{2}-3 x \right ) y^{\prime }+2 y^{3}-5 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.296 |
|
| 23883 |
\begin{align*}
y^{\prime }&=y^{2}+\lambda \operatorname {arccot}\left (x \right )^{n} y-a^{2}+a \lambda \operatorname {arccot}\left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.296 |
|
| 23884 |
\begin{align*}
\frac {y^{\prime }}{y}-\frac {2 \ln \left (y\right )}{x}&=\frac {1-2 \ln \left (x \right )}{x} \\
y \left (1\right ) &= {\mathrm e} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.300 |
|
| 23885 |
\begin{align*}
2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y&=\ln \left (x^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.305 |
|
| 23886 |
\begin{align*}
z^{\prime }+2 x z&=2 a \,x^{3} z^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.305 |
|
| 23887 |
\begin{align*}
y^{\prime }&=y^{3}-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.307 |
|
| 23888 |
\begin{align*}
y^{\prime }&=\frac {y x}{x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.309 |
|
| 23889 |
\begin{align*}
2 y^{2} a^{2}+{y^{\prime }}^{2}+y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.315 |
|
| 23890 |
\begin{align*}
\left (1-y^{2}\right ) {y^{\prime }}^{2}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.325 |
|
| 23891 |
\begin{align*}
y^{\prime \prime }-\frac {y^{\prime }}{t}+\frac {y}{t^{2}}&=\frac {1}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.326 |
|
| 23892 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y&=4 x +\sin \left (\ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.332 |
|
| 23893 |
\begin{align*}
3 y^{\prime \prime }&=\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.332 |
|
| 23894 |
\begin{align*}
\sqrt {2 a y-y^{2}}\, \csc \left (x \right )+y \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.336 |
|
| 23895 |
\begin{align*}
x^{\prime \prime }+\frac {2 x^{\prime }}{5}+2 x&=1-\operatorname {Heaviside}\left (t -5\right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
11.339 |
|
| 23896 |
\begin{align*}
y y^{\prime }+x \,{\mathrm e}^{-x} \left (y+1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.342 |
|
| 23897 |
\begin{align*}
3 y+2 x +4-\left (4 x +6 y+5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.342 |
|
| 23898 |
\begin{align*}
{y^{\prime }}^{2}+x y^{2} y^{\prime }+y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.352 |
|
| 23899 |
\begin{align*}
y^{\prime }&=\frac {-4 x \cos \left (x \right )+4 x^{2} \sin \left (x \right )+4 x +4+4 y^{2}+8 y \cos \left (x \right ) x -8 y x +2 x^{2} \cos \left (2 x \right )+6 x^{2}-8 x^{2} \cos \left (x \right )+4 y^{3}+12 y^{2} \cos \left (x \right ) x -12 x y^{2}+6 y x^{2} \cos \left (2 x \right )+18 x^{2} y-24 y \cos \left (x \right ) x^{2}+x^{3} \cos \left (3 x \right )+15 x^{3} \cos \left (x \right )-6 x^{3} \cos \left (2 x \right )-10 x^{3}}{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
11.360 |
|
| 23900 |
\begin{align*}
x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
11.364 |
|