| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7801 |
\begin{align*}
\left (3 x +2\right ) y^{\prime \prime }+3 x y^{\prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.578 |
|
| 7802 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}+n^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.578 |
|
| 7803 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=2 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.578 |
|
| 7804 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+5 y&={\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.578 |
|
| 7805 |
\begin{align*}
x^{\prime }&=-3 x-4 y \\
y^{\prime }&=2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7806 |
\begin{align*}
\left (x^{2}-2 x -3\right ) y^{\prime \prime }+x y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=4\). |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7807 |
\begin{align*}
y^{\prime }-4 y&=\frac {48 x}{y^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7808 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7809 |
\begin{align*}
y^{\prime \prime }+\left (t^{2}+2 t +1\right ) y^{\prime }-\left (4+4 t \right ) y&=0 \\
y \left (-1\right ) &= 0 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*}
Series expansion around \(t=-1\). |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7810 |
\begin{align*}
\left (2 x^{2}+1\right ) y^{\prime \prime }+7 x y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7811 |
\begin{align*}
x^{\prime }-x+y&=2 \sin \left (t \right ) \left (1-\operatorname {Heaviside}\left (t -\pi \right )\right ) \\
2 x-y^{\prime }-y&=0 \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7812 |
\begin{align*}
{y^{\prime }}^{2} x^{2}&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7813 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=\frac {{\mathrm e}^{-x}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7814 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+30 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= {\frac {15}{8}} \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7815 |
\begin{align*}
x^{\prime }&=5 x+3 y \\
y^{\prime }&=-6 x-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7816 |
\begin{align*}
x^{\prime }&=2 x+4 y \\
y^{\prime }&=-x+6 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= -1 \\
y \left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7817 |
\begin{align*}
y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y^{2} {y^{\prime }}^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.579 |
|
| 7818 |
\begin{align*}
\left (2 x^{2}+4 x +5\right ) y^{\prime \prime }-20 \left (x +1\right ) y^{\prime }+60 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.579 |
|
| 7819 |
\begin{align*}
x^{\prime }&=-5 x-2 y \\
y^{\prime }&=x-7 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7820 |
\begin{align*}
x^{\prime }&=-3 x-y \\
y^{\prime }&=x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7821 |
\begin{align*}
y^{\prime \prime }+7 y^{\prime }+12 y&=3 \,{\mathrm e}^{-t} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7822 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=2 t +{\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7823 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=-78 \cos \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7824 |
\begin{align*}
{y^{\prime }}^{3}-y^{\prime } \left (x^{2}+y x +y^{2}\right )+x y \left (x +y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7825 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7826 |
\begin{align*}
x^{\prime }&=x+3 y \\
y^{\prime }&=5 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7827 |
\begin{align*}
y^{\prime \prime }-4 y&=8 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.579 |
|
| 7828 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&=t +\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.580 |
|
| 7829 |
\begin{align*}
x^{\prime }&=2 x-6 y \\
y^{\prime }&=2 x+y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 2 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.580 |
|
| 7830 |
\begin{align*}
4 y^{\prime \prime }+y&=33 \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.580 |
|
| 7831 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \sin \left (x \right ) \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.580 |
|
| 7832 |
\begin{align*}
x^{\prime }&=-x+3 y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.580 |
|
| 7833 |
\begin{align*}
y^{\prime }&=f \left (x \right ) f^{\prime }\left (x \right )-f^{\prime }\left (x \right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7834 |
\begin{align*}
\left (x +a \right ) y^{\prime }&=b x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7835 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=4 \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7836 |
\begin{align*}
5 x^{3} y^{2}+2 y+\left (3 x^{4} y+2 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.581 |
|
| 7837 |
\begin{align*}
\left (3 x^{2}-y^{2}\right ) y^{\prime }-2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.581 |
|
| 7838 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=12 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7839 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7840 |
\begin{align*}
{y^{\prime }}^{2}+\left (a x +b \right ) y^{\prime }-a y+c&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7841 |
\begin{align*}
x \left (-x^{2}+1\right )^{2} y^{\prime \prime }+\left (-x^{2}+1\right ) \left (3 x^{2}+1\right ) y^{\prime }+4 x \left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.581 |
|
| 7842 |
\begin{align*}
y^{\prime \prime }-y&=x^{2}-x +1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7843 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+3 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7844 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7845 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7846 |
\begin{align*}
y^{\prime \prime }-8 y^{\prime }+16 y&=\left (1-x \right ) {\mathrm e}^{4 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.581 |
|
| 7847 |
\begin{align*}
\left (2 x^{2}-4 x +1\right ) y^{\prime \prime }+10 \left (x -1\right ) y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7848 |
\begin{align*}
\left (3 x^{2}+2 x +1\right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }+\left (x +1\right ) y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7849 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }+12 y&=8 \cos \left (2 x \right )-16 \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7850 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7851 |
\begin{align*}
x_{1}^{\prime }&=-x_{2} \\
x_{2}^{\prime }&=8 x_{1}-6 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7852 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 7 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7853 |
\begin{align*}
\left (x +1\right ) y^{\prime \prime }-\left (2-x \right ) y^{\prime }+y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7854 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=64 x \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7855 |
\begin{align*}
y^{\prime }&=x \cos \left (x^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7856 |
\begin{align*}
y^{\prime }&=40 x \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7857 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime }&=\cos \left (t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7858 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&={\mathrm e}^{2 x}+\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7859 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7860 |
\begin{align*}
x^{\prime }&=-x-\frac {y}{2} \\
y^{\prime }&=2 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7861 |
\begin{align*}
y^{\prime \prime }-\frac {2 y^{\prime }}{x}+\left (n^{2}+\frac {2}{x^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7862 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=4 t^{2} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7863 |
\begin{align*}
y^{\prime \prime }-y&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7864 |
\begin{align*}
x^{\prime }&=3 x-5 y \\
y^{\prime }&=4 x-5 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (\pi \right ) &= 1 \\
y \left (\pi \right ) &= {\frac {4}{5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7865 |
\begin{align*}
y^{\prime \prime }+9 y&=15 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7866 |
\begin{align*}
y^{\prime \prime }-{y^{\prime }}^{2} x&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7867 |
\begin{align*}
y_{1}^{\prime }&=2 y_{1}-y_{2} \\
y_{2}^{\prime }&=3 y_{1}-2 y_{2} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7868 |
\begin{align*}
y_{1}^{\prime }&=5 y_{1}-3 y_{2} \\
y_{2}^{\prime }&=2 y_{1} \\
\end{align*}
With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 2 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7869 |
\begin{align*}
y^{\prime }&=\left (-2+y\right )^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7870 |
\begin{align*}
x y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7871 |
\(\left [\begin {array}{ccc} 2 & -4 & 0 \\ -4 & 0 & 0 \\ 0 & 0 & 0 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.582 |
|
| 7872 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-x_{2}+2 \,{\mathrm e}^{6 t} \\
x_{2}^{\prime }&=x_{1}+5 x_{2}+6 t \,{\mathrm e}^{6 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.582 |
|
| 7873 |
\begin{align*}
y^{\prime \prime }+y&=3 x \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.583 |
|
| 7874 |
\begin{align*}
\left (x^{2}+4 x +4\right ) y^{\prime \prime }+\left (8+4 x \right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.583 |
|
| 7875 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.583 |
|
| 7876 |
\begin{align*}
\left (-x^{2}+1\right ) {y^{\prime }}^{2}+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.583 |
|
| 7877 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{x}-\frac {2 y}{\left (x +1\right )^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.583 |
|
| 7878 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=20 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.583 |
|
| 7879 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.583 |
|
| 7880 |
\(\left [\begin {array}{cc} 7 & -2 \\ 26 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.583 |
|
| 7881 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=10 \,{\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.583 |
|
| 7882 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-2 x+3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.583 |
|
| 7883 |
\begin{align*}
\left (5+2 x \right ) y^{\prime \prime }-y^{\prime }+\left (5+x \right ) y&=0 \\
y \left (-2\right ) &= 2 \\
y^{\prime }\left (-2\right ) &= -1 \\
\end{align*}
Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7884 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sin \left ({\mathrm e}^{-x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7885 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+4 y&=5 \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7886 |
\begin{align*}
y^{\prime \prime }+x y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7887 |
\begin{align*}
-y+y^{\prime }+x y^{\prime \prime }&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7888 |
\begin{align*}
x^{\prime }&=5 x-4 y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7889 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7890 |
\begin{align*}
y^{\prime \prime }+4 y&={\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7891 |
\begin{align*}
y^{\prime }+z^{\prime }+6 y&=0 \\
z^{\prime }+5 y+z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7892 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=x +{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7893 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7894 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+2 y&=\left \{\begin {array}{cc} {\mathrm e}^{t} & 0\le t <1 \\ {\mathrm e}^{2 t} & 1\le t <\infty \end {array}\right . \\
\end{align*}
Using Laplace transform method. |
✓ |
✗ |
✓ |
✓ |
0.584 |
|
| 7895 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right )-\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.584 |
|
| 7896 |
\begin{align*}
\left (x^{2}-2 x -3\right ) y^{\prime \prime }+x y^{\prime }+4 y&=0 \\
\end{align*}
Series expansion around \(x=-4\). |
✓ |
✓ |
✓ |
✓ |
0.585 |
|
| 7897 |
\begin{align*}
\left (2 x^{2}+4 x +5\right ) y^{\prime \prime }-20 \left (x +1\right ) y^{\prime }+60 y&=0 \\
y \left (-1\right ) &= 3 \\
y^{\prime }\left (-1\right ) &= -3 \\
\end{align*}
Series expansion around \(x=-1\). |
✓ |
✓ |
✓ |
✓ |
0.585 |
|
| 7898 |
\begin{align*}
\left (7+x \right ) y^{\prime \prime }+\left (8+2 x \right ) y^{\prime }+\left (5+x \right ) y&=0 \\
y \left (-4\right ) &= 1 \\
y^{\prime }\left (-4\right ) &= 2 \\
\end{align*}
Series expansion around \(x=-4\). |
✓ |
✓ |
✓ |
✓ |
0.585 |
|
| 7899 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-t y^{\prime }+\alpha ^{2} y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.585 |
|
| 7900 |
\begin{align*}
2 {y^{\prime }}^{5}+2 x y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.585 |
|