| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9901 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\frac {1}{{\mathrm e}^{x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.675 |
|
| 9902 |
\begin{align*}
y^{\prime \prime \prime }+4 y^{\prime }&=\sec \left (2 t \right ) \tan \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9903 |
\begin{align*}
y^{\prime \prime }+y x&=\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.675 |
|
| 9904 |
\begin{align*}
y^{\prime }+y^{\prime \prime \prime }&=\sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| 9905 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=5 x_{2}-7 x_{3} \\
x_{3}^{\prime }&=2 x_{2}-4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.676 |
|
| 9906 |
\begin{align*}
-6 y x -y^{\prime }+x \left (x^{2}+2\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.676 |
|
| 9907 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+3 y^{\prime } x -8 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.676 |
|
| 9908 |
\begin{align*}
y^{\prime } x +y&=\tan \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.676 |
|
| 9909 |
\begin{align*}
\left (2 x^{2}-8 x +11\right ) y^{\prime \prime }-16 \left (x -2\right ) y^{\prime }+36 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.676 |
|
| 9910 |
\begin{align*}
b \,{\mathrm e}^{y} x +a y^{\prime }+y^{\prime \prime } x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.676 |
|
| 9911 |
\begin{align*}
y&=y^{\prime } x -\frac {1}{{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.676 |
|
| 9912 |
\begin{align*}
y^{\prime \prime }+4 y&=\tan \left (2 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.676 |
|
| 9913 |
\begin{align*}
y^{\prime \prime } x -\left (x +4\right ) y^{\prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.677 |
|
| 9914 |
\begin{align*}
z^{2} y^{\prime \prime }-\frac {3 z y^{\prime }}{2}+\left (z +1\right ) y&=0 \\
\end{align*} Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9915 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (3-2 x \right ) y^{\prime }+\left (1-2 x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9916 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=15 \,{\mathrm e}^{-x} \sqrt {x +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9917 |
\begin{align*}
\sin \left (x \right ) y^{\prime \prime }-2 \cos \left (x \right ) y^{\prime }-\sin \left (x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.677 |
|
| 9918 |
\begin{align*}
y^{\prime \prime }-y&=0 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= {\mathrm e} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9919 |
\begin{align*}
y^{\prime \prime } x +\left (1-2 x \right ) y^{\prime }+\left (x -1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9920 |
\begin{align*}
{\mathrm e} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9921 |
\begin{align*}
y^{\prime }-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9922 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+8 y&=2 \cos \left (3 t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9923 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y&=x \,{\mathrm e}^{x}+\frac {\cos \left (x \right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9924 |
\begin{align*}
x^{\prime }&=x+y-3 \\
y^{\prime }&=-x+y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9925 |
\begin{align*}
x_{1}^{\prime }&=-2 x_{1}+2 x_{2}-x_{3} \\
x_{2}^{\prime }&=-2 x_{1}+3 x_{2}-2 x_{3} \\
x_{3}^{\prime }&=-2 x_{1}+4 x_{2}-3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9926 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+x_{3} \\
x_{2}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
x_{3}^{\prime }&=-3 x_{1}+2 x_{2}+4 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.677 |
|
| 9927 |
\begin{align*}
y^{\prime \prime }-y^{\prime }+10 y&=20-{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 9928 |
\begin{align*}
4 x -2 y y^{\prime }+x {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 9929 |
\begin{align*}
y^{\prime \prime }+\left ({\mathrm e}^{-2 x}-\frac {1}{9}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 9930 |
\begin{align*}
y^{\prime } x +y&=\cos \left (x \right )+\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.678 |
|
| 9931 |
\begin{align*}
y^{\prime \prime }-16 y&=16 t \,{\mathrm e}^{-4 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 9932 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 9933 |
\begin{align*}
\left (t^{2}+1\right ) y^{\prime \prime }-4 y^{\prime } t +6 y&=2 t \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.678 |
|
| 9934 |
\begin{align*}
\left (-y^{\prime } x +y\right )^{2}&=4 y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.678 |
|
| 9935 |
\begin{align*}
{y^{\prime }}^{2}+\left (1-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9936 |
\begin{align*}
-2 y+\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9937 |
\begin{align*}
y^{\prime \prime }+\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9938 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+y^{\prime } x -9 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9939 |
\begin{align*}
y^{\prime \prime }-2 \left (x +3\right ) y^{\prime }-3 y&=0 \\
\end{align*} Series expansion around \(x=-3\). |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9940 |
\begin{align*}
y^{2} {y^{\prime }}^{2}-a^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9941 |
\begin{align*}
x^{\prime }&=-2 x+3 y \\
y^{\prime }&=3 x-2 y \\
z^{\prime }&=-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9942 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-10 y&=-18 \,{\mathrm e}^{4 x}+14 \,{\mathrm e}^{5 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9943 |
\begin{align*}
x&=y \left (y^{\prime }+\frac {1}{y^{\prime }}\right )+{y^{\prime }}^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.679 |
|
| 9944 |
\begin{align*}
9 y+6 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{-x} \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9945 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+5 y&=4 \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9946 |
\begin{align*}
x^{\prime }&=-2 x+y \\
y^{\prime }&=x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.679 |
|
| 9947 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+x_{2}+2 x_{3} \\
x_{2}^{\prime }&=-x_{1}+x_{2}+x_{3} \\
x_{3}^{\prime }&=-2 x_{1}+x_{2}+3 x_{3} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9948 |
\begin{align*}
2 x^{2} \left (1-3 x \right ) y^{\prime \prime }+5 y^{\prime } x -2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9949 |
\begin{align*}
y+y^{\prime }&=\delta \left (t -5\right ) \\
y \left (0\right ) &= 3 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9950 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (x -\frac {2}{9}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9951 |
\begin{align*}
a y+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9952 |
\begin{align*}
y^{\prime \prime }-y&={\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9953 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&={\mathrm e}^{x} \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9954 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\sec \left ({\mathrm e}^{-x}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.680 |
|
| 9955 |
\begin{align*}
{y^{\prime }}^{2}-4 \left (x +1\right ) y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.681 |
|
| 9956 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x^{3} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9957 |
\begin{align*}
x^{\prime }&=4 x+5 y \\
y^{\prime }&=-2 x+6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9958 |
\begin{align*}
\left (-4 x^{2}+1\right ) y^{\prime \prime }+6 y^{\prime } x -4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9959 |
\begin{align*}
x^{2} y^{\prime \prime }-9 y^{\prime } x +25 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9960 |
\begin{align*}
\left (x -1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9961 |
\begin{align*}
y^{\prime \prime }&=\frac {\left (2 x^{2}+1\right ) y^{\prime }}{x^{3}}-\frac {\left (a \,x^{4}+10 x^{2}+1\right ) y}{4 x^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.681 |
|
| 9962 |
\begin{align*}
x^{\prime }&=2 x+y \\
y^{\prime }&=-x \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9963 |
\begin{align*}
3 x^{\prime }+2 y^{\prime }&=\sin \left (t \right ) \\
x^{\prime }-2 y^{\prime }&=x+y+t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9964 |
\begin{align*}
2 x^{2} y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9965 |
\begin{align*}
x^{\prime }&=-3 x+y \\
y^{\prime }&=-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9966 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.681 |
|
| 9967 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&={\mathrm e}^{t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9968 |
\begin{align*}
y^{\prime }&=y+z \\
z^{\prime }&=y+z+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9969 |
\begin{align*}
y^{\prime }+3 y+2 z&=0 \\
z^{\prime }+2 y-4 z&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9970 |
\begin{align*}
4 i^{\prime \prime }+i&=t^{2}+2 \cos \left (4 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| 9971 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.682 |
|
| 9972 |
\begin{align*}
y^{\prime \prime }&=\left (x^{2}+3\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.682 |
|
| 9973 |
\begin{align*}
x^{\prime }&=-2 x-y \\
y^{\prime }&=-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 9974 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-12 y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 9975 |
\begin{align*}
-\left (a^{2}+1\right ) y-2 \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.682 |
|
| 9976 |
\begin{align*}
y^{\prime \prime }-y&=4 \cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 9977 |
\begin{align*}
y^{\prime }&=3 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.682 |
|
| 9978 |
\begin{align*}
x^{\prime \prime }&=50 \\
x \left (0\right ) &= 20 \\
x^{\prime }\left (0\right ) &= 10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9979 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9980 |
\begin{align*}
2 y^{\prime \prime }-3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9981 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+2 y&={\mathrm e}^{x} \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9982 |
\begin{align*}
c y^{2}+b x y y^{\prime }+a \,x^{2} {y^{\prime }}^{2}+x^{2} y y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.683 |
|
| 9983 |
\begin{align*}
y^{\prime \prime }-y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9984 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9985 |
\begin{align*}
y^{\prime }&=\sin \left (2 t \right )-\cos \left (2 t \right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9986 |
\begin{align*}
y^{\prime }&=\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9987 |
\begin{align*}
y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime }&=24 \cos \left (x \right ) x \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9988 |
\begin{align*}
x^{\prime }&=3 x+y-z \\
y^{\prime }&=x+3 y-z \\
z^{\prime }&=3 x+3 y-z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9989 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.683 |
|
| 9990 |
\begin{align*}
2 x^{2} y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9991 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=15 \,{\mathrm e}^{-2 x} \ln \left (x \right )+25 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9992 |
\begin{align*}
x_{1}^{\prime }&=-8 x_{1}+6 x_{2}-3 x_{3} \\
x_{2}^{\prime }&=-12 x_{1}+10 x_{2}-3 x_{3} \\
x_{3}^{\prime }&=-2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9993 |
\begin{align*}
y^{\prime }+\left (a t +b t \right ) y&=0 \\
y \left (-3\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9994 |
\begin{align*}
\left (2 x^{5}+1\right ) y^{\prime \prime }+14 x^{4} y^{\prime }+10 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9995 |
\begin{align*}
y {y^{\prime }}^{2}-2 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9996 |
\begin{align*}
x^{\prime }&=4 y \\
y^{\prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9997 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y&=\left (2 x^{2}+4 x +8\right ) \cos \left (x \right )+\left (6 x^{2}+8 x +12\right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9998 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+6 y&=-8 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 9999 |
\begin{align*}
x^{\prime }&=x+2 y+4 \\
y^{\prime }&=-2 x+y-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|
| 10000 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{4}+2 y&=2 \cos \left (w t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.684 |
|