| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 8901 |
\begin{align*}
\left (-x y^{\prime }+y\right )^{2}&=1+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.654 |
|
| 8902 |
\begin{align*}
x_{1}^{\prime }&=5 x_{1}+9 x_{2} \\
x_{2}^{\prime }&=-2 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8903 |
\begin{align*}
\left (-4 x^{2}+1\right ) y^{\prime \prime }-20 x y^{\prime }-16 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8904 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8905 |
\begin{align*}
y x -x^{2} y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8906 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8907 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=\frac {1}{x} \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.654 |
|
| 8908 |
\begin{align*}
a x y^{\prime \prime }+b y^{\prime }+c y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.654 |
|
| 8909 |
\begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=-2 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8910 |
\begin{align*}
t^{3} x^{\prime \prime }+3 t^{2} x^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8911 |
\begin{align*}
x^{\prime }&=\sin \left (t \right )+\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8912 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8913 |
\begin{align*}
y^{\prime \prime }+9 y&=\delta \left (x -\pi \right )+\delta \left (x -3 \pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8914 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+10 y&={\mathrm e}^{-2 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8915 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+6 y&=-8 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8916 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=2 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8917 |
\begin{align*}
8 y^{\prime \prime }+4 y^{\prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8918 |
\begin{align*}
x^{\prime }&=2 x \\
y^{\prime }&=2 y+z \\
z^{\prime }&=-x-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8919 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8920 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{2 x}}{{\mathrm e}^{2 x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.654 |
|
| 8921 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{t} {\mathrm e}^{i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.654 |
|
| 8922 |
\begin{align*}
y^{\prime \prime }-y&=\frac {2 \,{\mathrm e}^{x}}{{\mathrm e}^{x}-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.654 |
|
| 8923 |
\begin{align*}
y^{\prime \prime }+y&=\cos \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8924 |
\begin{align*}
4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-16 x^{2}+3\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8925 |
\begin{align*}
\left (-2 x^{2}+x \right ) y^{\prime \prime }+\left (-x^{2}+3 x +1\right ) y^{\prime }+\left (x +2\right ) y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8926 |
\begin{align*}
y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }-4 y&=\sin \left (x \right )-{\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8927 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{x}}{x^{5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8928 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-y x&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8929 |
\begin{align*}
x^{\prime }&=10 x-5 y \\
y^{\prime }&=8 x-12 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8930 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+5 y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8931 |
\begin{align*}
y^{\prime \prime }-\cos \left (x \right ) y&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.655 |
|
| 8932 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8933 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8934 |
\begin{align*}
x^{3} y^{\prime }-x^{3}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8935 |
\begin{align*}
y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8936 |
\begin{align*}
y^{\prime \prime }+2 y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8937 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }-x^{2} y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8938 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8939 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8940 |
\begin{align*}
r^{\prime \prime }+\frac {5 r^{\prime }}{2}+r&=1 \\
r \left (0\right ) &= 0 \\
r^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.655 |
|
| 8941 |
\begin{align*}
2 x \left (x +2\right ) y^{\prime \prime }+\left (2-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.655 |
|
| 8942 |
\begin{align*}
x^{\prime }&=3 x-2 y \\
y^{\prime }&=4 x-y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8943 |
\begin{align*}
s^{\prime \prime }+2 s^{\prime }+s&=0 \\
s \left (0\right ) &= 4 \\
s^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8944 |
\begin{align*}
x y^{\prime \prime }+2 y^{\prime }+y x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8945 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8946 |
\begin{align*}
x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }-x \left (-2 x^{2}-4 x +1\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.656 |
|
| 8947 |
\begin{align*}
16 y^{2} {y^{\prime }}^{3}+2 x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.656 |
|
| 8948 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8949 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=4 \cos \left (2 x \right )+\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8950 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}&=n^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8951 |
\begin{align*}
2 x^{\prime }&=6 x-y-6 t^{2}-t +3 \\
y^{\prime }&=2 y-2 t -1 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.656 |
|
| 8952 |
\begin{align*}
y^{\prime \prime }+9 y&=\sin \left (2 x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8953 |
\begin{align*}
x^{2} \left (x^{2}+1\right ) y^{\prime \prime }-x \left (-2 x^{2}+1\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8954 |
\begin{align*}
y^{\prime \prime }+2 y&={\mathrm e}^{x}+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8955 |
\begin{align*}
2 y_{1}^{\prime }&=y_{1}+y_{2} \\
2 y_{2}^{\prime }&=5 y_{2}-3 y_{1} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 3 \\
y_{2} \left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8956 |
\begin{align*}
x^{\prime }&=-\frac {5 x}{2}+2 y \\
y^{\prime }&=\frac {3 x}{4}-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8957 |
\begin{align*}
x y^{\prime }&=\sin \left (x^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8958 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }+a^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.657 |
|
| 8959 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+2 x&=\cos \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8960 |
\begin{align*}
y^{\prime \prime }+y&=4 \,{\mathrm e}^{x} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8961 |
\begin{align*}
y^{\prime \prime }+16 y&=14 \cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.657 |
|
| 8962 |
\begin{align*}
y^{\prime \prime }&=2 y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.657 |
|
| 8963 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8964 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }-8 y x&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8965 |
\begin{align*}
y^{\prime \prime }-y&=4 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8966 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }&=2 y^{\prime \prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8967 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.658 |
|
| 8968 |
\begin{align*}
y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.658 |
|
| 8969 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8970 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\cos \left ({\mathrm e}^{t}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8971 |
\begin{align*}
x^{\prime }&=-2 x+y \\
y^{\prime }&=-5 x+4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8972 |
\begin{align*}
y^{\prime }+3 y+2 z&=0 \\
z^{\prime }+2 y-4 z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8973 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }+a^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.658 |
|
| 8974 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8975 |
\begin{align*}
w^{\prime }-w-2 y&=1 \\
y^{\prime }-4 w-3 y&=-1 \\
\end{align*}
With initial conditions \begin{align*}
y \left (0\right ) &= 2 \\
w \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8976 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-6 t y^{\prime }-4 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8977 |
\begin{align*}
1+{\mathrm e}^{3 x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8978 |
\begin{align*}
y^{\prime \prime }+y&=\left (x^{2}+1\right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.658 |
|
| 8979 |
\begin{align*}
x^{2} \left (\ln \left (x \right )-1\right ) y^{\prime \prime }-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.658 |
|
| 8980 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (1-x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.659 |
|
| 8981 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (x +1\right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 8982 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 8983 |
\begin{align*}
16 y+8 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 8984 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 8985 |
\begin{align*}
\left (1+3 x \right ) y^{\prime \prime }-3 y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 8986 |
\begin{align*}
w^{\prime }+y&=\sin \left (t \right ) \\
y^{\prime }-z&={\mathrm e}^{t} \\
w+y+z^{\prime }&=1 \\
\end{align*}
With initial conditions \begin{align*}
w \left (0\right ) &= 0 \\
z \left (0\right ) &= 1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.659 |
|
| 8987 |
\begin{align*}
y^{\prime \prime }-x y^{\prime }&={\mathrm e}^{-x} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.659 |
|
| 8988 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }+17 y&={\mathrm e}^{4 x} \left (x^{2}-3 x \sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.659 |
|
| 8989 |
\begin{align*}
m x^{\prime \prime }+k x&=F_{0} \cos \left (\omega t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 8990 |
\begin{align*}
y_{1}^{\prime }&=2 y_{2}-2 y_{3} \\
y_{2}^{\prime }&=-y_{1}+5 y_{2}-3 y_{3} \\
y_{3}^{\prime }&=y_{1}+y_{2}+y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 8991 |
\begin{align*}
x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }-5 x y^{\prime }+9 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 8992 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.660 |
|
| 8993 |
\begin{align*}
y^{\prime \prime }-4 y&=32 t \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 8994 |
\begin{align*}
4 {y^{\prime }}^{2} x \left (x -a \right ) \left (x -b \right )&=\left (3 x^{2}-2 x \left (a +b \right )+a b \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 8995 |
\begin{align*}
y^{\prime }+y&=0 \\
y \left (0\right ) &= 4 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 8996 |
\begin{align*}
x^{2} y^{\prime \prime }&=y^{\prime } \left (2 x -y^{\prime }\right ) \\
y \left (-1\right ) &= 5 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.660 |
|
| 8997 |
\begin{align*}
\left (x^{2}-9\right )^{2} y^{\prime \prime }+\left (x^{2}+9\right ) y^{\prime }+\left (x^{2}+4\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 8998 |
\begin{align*}
x^{\prime \prime }+4 x&=5 \sin \left (3 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.661 |
|
| 8999 |
\begin{align*}
t^{3} y^{\prime \prime }+\sin \left (t^{2}\right ) y^{\prime }+y t&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✗ |
0.661 |
|
| 9000 |
\begin{align*}
x^{2}+y^{2}+2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.661 |
|