| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 8001 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=2 x-4 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8002 |
\begin{align*}
8 {y^{\prime }}^{3}-12 {y^{\prime }}^{2}&=-27 x +27 y \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.516 |
|
| 8003 |
\begin{align*}
2 n y-2 y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8004 |
\begin{align*}
x^{\prime }&=3 x+6 y \\
y^{\prime }&=-2 x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8005 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8006 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+3 y^{\prime } x +y x&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 6 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8007 |
\begin{align*}
x^{\prime }-x+2 y^{\prime }+7 y&=0 \\
2 x^{\prime }+y^{\prime }+x+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8008 |
\begin{align*}
x^{2} y^{\prime \prime \prime \prime }-x y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8009 |
\begin{align*}
y^{\prime \prime }+y&=\frac {1}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8010 |
\begin{align*}
x^{\prime }&=-x \\
y^{\prime }&=-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8011 |
\begin{align*}
1+{\mathrm e}^{3 x} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8012 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=2 \cos \left (2 x \right )+\sin \left (2 x \right )+2 \,{\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8013 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.516 |
|
| 8014 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=4 x_{1}-x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8015 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-x_{2} \\
x_{2}^{\prime }&=5 x_{1}-3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8016 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}-2 x_{2}+\frac {1}{t^{3}} \\
x_{2}^{\prime }&=8 x_{1}-4 x_{2}-\frac {1}{t^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8017 |
\begin{align*}
\left (x^{2}+3 x +3\right ) y^{\prime \prime }+\left (6+4 x \right ) y^{\prime }+2 y&=0 \\
y \left (0\right ) &= 7 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8018 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2}+t \\
x_{2}^{\prime }&=2 x_{1}-2 x_{2}+3 \,{\mathrm e}^{t} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 2 \\
x_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8019 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8020 |
\begin{align*}
x {y^{\prime }}^{2}+\left (1-x^{2} y\right ) y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8021 |
\begin{align*}
\left (c x +b \right ) y+a y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.517 |
|
| 8022 |
\begin{align*}
x^{\prime }&=7 x+6 y \\
y^{\prime }&=2 x+6 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8023 |
\begin{align*}
2 x^{2} y^{\prime \prime }+2 y^{\prime } x -y x&=1 \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.517 |
|
| 8024 |
\begin{align*}
y^{\prime }&=\left (\cos \left (x \right )+y\right )^{2}+\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8025 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }+6 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8026 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8027 |
\begin{align*}
y^{\prime \prime }+4 y&=\cos \left (2 t \right ) \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8028 |
\begin{align*}
y^{\prime }+y \,{\mathrm e}^{2 x}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8029 |
\begin{align*}
\left (2 x +1\right ) y^{\prime \prime }+\left (4 x -2\right ) y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.517 |
|
| 8030 |
\begin{align*}
y^{\prime }&=y^{2}-6 y-16 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8031 |
\begin{align*}
4 y+4 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime }&=\cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8032 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+\left (1-\frac {2}{\left (1+3 x \right )^{2}}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.517 |
|
| 8033 |
\begin{align*}
\left (x^{2}+4\right ) y^{\prime \prime }+y&=x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.517 |
|
| 8034 |
\begin{align*}
y^{\prime \prime }-5 y^{\prime }-6 y&={\mathrm e}^{3 t} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.517 |
|
| 8035 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8036 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8037 |
\begin{align*}
\left (2+x \right ) y^{\prime }-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8038 |
\begin{align*}
y^{\prime \prime }+16 y&=\sin \left (4 x +\alpha \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8039 |
\begin{align*}
x^{3} y^{\prime \prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.518 |
|
| 8040 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=15 \sqrt {1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8041 |
\begin{align*}
g^{\prime \prime }-3 g^{\prime }+2 g&=\delta \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.518 |
|
| 8042 |
\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*} Series expansion around \(x=2\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8043 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=t^{3} \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8044 |
\begin{align*}
2 y^{\prime \prime } x +5 y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8045 |
\begin{align*}
-4 y-3 y^{\prime }+y^{\prime \prime }&=10 \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8046 |
\begin{align*}
y^{\prime }&=x \,{\mathrm e}^{x} \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8047 |
\begin{align*}
y^{\prime \prime }+16 y&=4 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8048 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 8049 |
\begin{align*}
\left (4 x^{4}+2 x^{2}+1\right ) y+4 x^{3} y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.519 |
|
| 8050 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=2 x+2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8051 |
\begin{align*}
y^{\prime }&=x \sin \left (x \right ) \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8052 |
\begin{align*}
-2 y+\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8053 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8054 |
\begin{align*}
y^{\prime \prime }&=2 x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8055 |
\begin{align*}
y^{3} y^{\prime \prime }&=-1 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
0.519 |
|
| 8056 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=x^{2} {\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8057 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+3 y&={\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8058 |
\begin{align*}
x^{\prime }&=x+2 y \\
y^{\prime }&=-5 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.519 |
|
| 8059 |
\begin{align*}
27 x y^{2}+8 y^{3}+\left (18 x^{2} y+12 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8060 |
\begin{align*}
8 y^{\prime \prime }-y&=x \,{\mathrm e}^{-\frac {x}{2}} \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8061 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8062 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&={\mathrm e}^{2 x} \tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8063 |
\begin{align*}
a \,x^{k} y+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.520 |
|
| 8064 |
\begin{align*}
-2 y x -2 \left (-x^{2}+1\right ) y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.520 |
|
| 8065 |
\begin{align*}
y^{\prime \prime }&=-4 y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8066 |
\begin{align*}
y^{\prime \prime }-y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8067 |
\begin{align*}
y x -x^{2} y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8068 |
\begin{align*}
y^{\prime \prime }-9 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8069 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\mu x} y^{2}+\lambda y-a \,b^{2} {\mathrm e}^{\left (2 \lambda +\mu \right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.520 |
|
| 8070 |
\begin{align*}
y^{\prime \prime }+9 y&=27 x +18 \\
y \left (0\right ) &= 23 \\
y^{\prime }\left (0\right ) &= 21 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8071 |
\begin{align*}
y^{\prime }&=\cos \left (x \right ) x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8072 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }+y&=t^{2}+3 \sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8073 |
\begin{align*}
y^{\prime \prime }+y&=3 \cos \left (w t \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8074 |
\begin{align*}
u^{\prime \prime }+2 a u^{\prime }+\omega ^{2} u&=c \cos \left (\omega t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8075 |
\begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8076 |
\begin{align*}
y^{\prime }&=y x \\
y \left (0\right ) &= 5 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.520 |
|
| 8077 |
\begin{align*}
\left (2 x^{2}+x +1\right ) y^{\prime \prime }+\left (2+8 x \right ) y^{\prime }+4 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8078 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-2 y&=4 \cos \left (x \right )-2 \sin \left (x \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8079 |
\begin{align*}
y^{\prime \prime }+2 x^{2} y^{\prime }+y x&=2 \cos \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 8080 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=36 x \,{\mathrm e}^{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8081 |
\begin{align*}
-a y-\left (a -\left (2-a \right ) x \right ) y^{\prime }+x \left (x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 8082 |
\begin{align*}
\left (x -1\right )^{2} y^{\prime \prime }-\left (x -1\right ) y^{\prime }-35 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 8083 |
\begin{align*}
\left (2+x \right )^{2} y^{\prime \prime }+\left (2+x \right ) y^{\prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.521 |
|
| 8084 |
\begin{align*}
x^{\prime \prime }-x&={\mathrm e}^{t} \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8085 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x -\lambda y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8086 |
\begin{align*}
38 x^{\prime \prime }+10 x^{\prime }-3 x&=0 \\
x \left (0\right ) &= 5 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8087 |
\begin{align*}
z^{\prime \prime }-3 z^{\prime }+2 z&=4 \sin \left (3 t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8088 |
\begin{align*}
y^{\prime \prime \prime \prime }-y&={\mathrm e}^{t}+{\mathrm e}^{-t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| 8089 |
\begin{align*}
x^{\prime }&=4 x+y+2 t \\
y^{\prime }&=-2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8090 |
\begin{align*}
x_{1}^{\prime }&=-3 x_{1}+2 x_{2} \\
x_{2}^{\prime }&=-x_{1}-x_{2} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 1 \\
x_{2} \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8091 |
\begin{align*}
2 y^{\prime \prime }-3 y^{\prime }+y&=\left (t^{2}+1\right ) {\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8092 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 \left (x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8093 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{1-x}+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8094 |
\begin{align*}
y^{\prime \prime }+y&=a x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8095 |
\begin{align*}
2 \left (x^{3}+x^{2}\right ) y^{\prime \prime }-\left (-3 x^{2}+x \right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| 8096 |
\begin{align*}
y_{1}^{\prime }&=y_{2} \\
y_{2}^{\prime }&=6 y_{1}+y_{2} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= -1 \\
\end{align*} |
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✓ |
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✓ |
0.522 |
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| 8097 |
\begin{align*}
y^{\prime \prime } x -\left (2 x +2\right ) y^{\prime }+\left (2+x \right ) y&=6 \,{\mathrm e}^{x} x^{3} \\
\end{align*} |
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✓ |
✗ |
0.522 |
|
| 8098 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&=\delta \left (t -1\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
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0.522 |
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| 8099 |
\begin{align*}
x^{\prime }&=-4 x+2 y \\
y^{\prime }&=3 x-2 y \\
\end{align*} |
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0.522 |
|
| 8100 |
\begin{align*}
x^{\prime }&=4 x+2 y \\
y^{\prime }&=2 x+y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
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✓ |
0.522 |
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