| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9901 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+x_{2}+2 \,{\mathrm e}^{-t} \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+3 t \\
\end{align*}
With initial conditions \begin{align*}
x_{1} \left (0\right ) &= \alpha _{1} \\
x_{2} \left (0\right ) &= \alpha _{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.738 |
|
| 9902 |
\begin{align*}
y^{\prime \prime }+9 y&=8 \cos \left (x \right ) \\
y \left (\frac {\pi }{2}\right ) &= -1 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.738 |
|
| 9903 |
\begin{align*}
\left (x -1\right )^{2} y^{\prime \prime }-\left (x -1\right ) y^{\prime }-35 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.738 |
|
| 9904 |
\begin{align*}
x \ln \left (x \right ) y^{\prime }+y&=3 x^{3} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✓ |
0.738 |
|
| 9905 |
\begin{align*}
y^{\prime \prime }+\left (x -2\right ) y&=0 \\
\end{align*}
Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.738 |
|
| 9906 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (a x \right ) \\
y \left (0\right ) &= y_{0} \\
y^{\prime }\left (0\right ) &= y_{1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.738 |
|
| 9907 |
\begin{align*}
y^{\prime \prime }+x^{2} y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.739 |
|
| 9908 |
\begin{align*}
2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y&=x^{4} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.739 |
|
| 9909 |
\begin{align*}
x \left (y^{\prime \prime }+y\right )-\cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.739 |
|
| 9910 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-y&={\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.739 |
|
| 9911 |
\begin{align*}
y^{\prime \prime \prime \prime }+16 y^{\prime \prime }&=64 \cos \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.739 |
|
| 9912 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{-2 x} \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.739 |
|
| 9913 |
\begin{align*}
t y^{\prime \prime }+\left (t +2\right ) y^{\prime }+y&=0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.739 |
|
| 9914 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x \left (x +2\right ) y^{\prime }+\left (x^{2}+4 x +6\right ) y&=2 x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.740 |
|
| 9915 |
\begin{align*}
y^{\prime \prime }-y&=x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9916 |
\begin{align*}
x^{2}+\cos \left (x \right ) y+\left (y^{3}+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.740 |
|
| 9917 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9918 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{3}^{\prime }&=-8 x_{1}-5 x_{2}-3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9919 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=2 \sinh \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.740 |
|
| 9920 |
\begin{align*}
x^{\prime }&=-2 a x-y \\
y^{\prime }&=\left (a^{2}+9\right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.740 |
|
| 9921 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&={\mathrm e}^{3 x} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9922 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9923 |
\begin{align*}
y^{\prime \prime }+k y^{\prime }+L y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9924 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&={\mathrm e}^{i \omega t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9925 |
\begin{align*}
y^{\prime }+y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.740 |
|
| 9926 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{3 x} \left (1+\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| 9927 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| 9928 |
\begin{align*}
x^{2} y^{\prime \prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.741 |
|
| 9929 |
\begin{align*}
x^{\prime \prime }+x&=\cos \left (\frac {7 t}{10}\right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| 9930 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| 9931 |
\begin{align*}
y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y&=96 \sin \left (2 x \right ) \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| 9932 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| 9933 |
\begin{align*}
y^{\prime }&=y+z-w \\
z^{\prime }&=y-z+w \\
w^{\prime }&=-y+z+w \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.741 |
|
| 9934 |
\begin{align*}
27 x y^{2}+8 y^{3}+\left (18 x^{2} y+12 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9935 |
\begin{align*}
y^{\prime \prime }+y&=x^{2} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9936 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=\frac {2 \,{\mathrm e}^{-3 x}}{x^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.742 |
|
| 9937 |
\begin{align*}
x^{\prime }&=3 x+4 y \\
y^{\prime }&=2 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9938 |
\begin{align*}
x^{\prime }&=8 x+14 y \\
y^{\prime }&=7 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9939 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=-18 \,{\mathrm e}^{4 x}+14 \,{\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9940 |
\begin{align*}
y^{\prime \prime }-25 y&=\frac {1}{1-{\mathrm e}^{5 t}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9941 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9942 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9943 |
\begin{align*}
y^{\prime \prime }+\left (x -1\right ) y&={\mathrm e}^{x} \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✗ |
0.742 |
|
| 9944 |
\begin{align*}
y^{\prime }+y&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9945 |
\begin{align*}
y^{\prime }&=y+{\mathrm e}^{x} \\
y \left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.742 |
|
| 9946 |
\begin{align*}
y^{\prime \prime }&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9947 |
\begin{align*}
z y^{\prime \prime }-2 y^{\prime }+9 z^{5} y&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9948 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9949 |
\begin{align*}
b x +a y {y^{\prime }}^{2}+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.743 |
|
| 9950 |
\begin{align*}
x^{\prime }+2 y&=3 t \\
y^{\prime }-2 x&=4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9951 |
\begin{align*}
3 y^{\prime \prime }+8 y^{\prime }-3 y&=123 x \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9952 |
\begin{align*}
4 y+y^{\prime \prime }&=x^{2}+3 x \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9953 |
\begin{align*}
y^{\prime \prime }-y&=2 x^{4}-3 x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9954 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9955 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (2 x +4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9956 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \sec \left (x \right )^{2} \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.743 |
|
| 9957 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9958 |
\begin{align*}
y^{\prime \prime }+4 y&=\operatorname {Heaviside}\left (t -\pi \right )-\operatorname {Heaviside}\left (t -3 \pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9959 |
\begin{align*}
x^{\prime }&=-5 x+3 y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9960 |
\begin{align*}
x_{1}^{\prime }&=-7 x_{1}-6 x_{2}-7 x_{3} \\
x_{2}^{\prime }&=-3 x_{1}-3 x_{2}-3 x_{3} \\
x_{3}^{\prime }&=7 x_{1}+6 x_{2}+7 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9961 |
\begin{align*}
y+2 y^{\prime }+4 y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9962 |
\begin{align*}
\left (b x +a \right ) y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9963 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \csc \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9964 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{x}+x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9965 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (16 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9966 |
\begin{align*}
x^{\prime }+x&=\sin \left (2 t \right ) \\
x \left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9967 |
\begin{align*}
4 x^{2} y^{\prime \prime }+\left (1-4 x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9968 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+3 x&=t \sin \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9969 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+25 y&=0 \\
y \left (0\right ) &= -3 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9970 |
\begin{align*}
y {y^{\prime }}^{2}-\left (y x +x +y^{2}\right ) y^{\prime }+x^{2}+y x&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.744 |
|
| 9971 |
\begin{align*}
-t y^{\prime \prime }+\left (t -2\right ) y^{\prime }+y&=0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
0.744 |
|
| 9972 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.744 |
|
| 9973 |
\begin{align*}
\left (2 x +1\right ) y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y&=x^{2}+x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.744 |
|
| 9974 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-x_{2}+{\mathrm e}^{t} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2}-{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9975 |
\begin{align*}
z y^{\prime \prime }+\left (2 z -3\right ) y^{\prime }+\frac {4 y}{z}&=0 \\
\end{align*}
Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9976 |
\begin{align*}
3 y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9977 |
\begin{align*}
y^{\prime }-y^{2}-3 y+4&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9978 |
\begin{align*}
x^{\prime }&=x+20 y \\
y^{\prime }&=40 x-19 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9979 |
\begin{align*}
x^{\prime }&=8 x+2 y+7 \,{\mathrm e}^{2 t} \\
y^{\prime }&=4 x+y-7 \,{\mathrm e}^{2 t} \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= -1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9980 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=4 x+24 t \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9981 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+16 y&=\frac {{\mathrm e}^{-4 t}}{t^{2}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.745 |
|
| 9982 |
\begin{align*}
y^{2} y^{\prime \prime }+{y^{\prime }}^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.745 |
|
| 9983 |
\begin{align*}
y^{\prime \prime }-y&=\cos \left (x \right ) \cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9984 |
\begin{align*}
x y^{\prime \prime }-y^{\prime } \left (x^{2}+2\right )+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9985 |
\begin{align*}
x^{\prime }&=3-2 y \\
y^{\prime }&=2 x-2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9986 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+2 y&=4 \cos \left (3 x \right ) \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9987 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+13 y&=4 \delta \left (-3+t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.745 |
|
| 9988 |
\begin{align*}
y^{\prime \prime }+4 y&=3 \csc \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9989 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x \left (-x^{2}+4\right ) y^{\prime }+\left (7 x^{2}+1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9990 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (2 x +3\right ) y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9991 |
\begin{align*}
9 x^{2} y^{\prime \prime }+10 x y^{\prime }+y&=x -1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.746 |
|
| 9992 |
\begin{align*}
{y^{\prime }}^{2}+a y^{\prime }+b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9993 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9994 |
\begin{align*}
n y y^{\prime \prime }-\left (n -1\right ) {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.746 |
|
| 9995 |
\begin{align*}
x^{\prime }+y^{\prime }-y&={\mathrm e}^{t} \\
2 x^{\prime }+y^{\prime }+2 y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9996 |
\begin{align*}
x^{\prime }-x+2 y&=0 \\
y^{\prime }+y-x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9997 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9998 |
\begin{align*}
y^{\prime \prime }&=x y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 9999 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{3}+1\right ) x y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.746 |
|
| 10000 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.747 |
|