| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 9101 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }&=\sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.947 |
|
| 9102 |
\begin{align*}
y^{\prime \prime }&={\mathrm e}^{x} {y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 9103 |
\begin{align*}
2 x^{2} y^{\prime \prime }+2 y^{\prime } x -y x&=x \sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.948 |
|
| 9104 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\left (2 \lambda +\mu \right ) x} y^{2}+\left (b \,{\mathrm e}^{\left (\lambda +\mu \right ) x}-\lambda \right ) y+c \,{\mathrm e}^{\mu x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.948 |
|
| 9105 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-5 x_{2}-\cos \left (t \right ) \\
x_{2}^{\prime }&=x_{1}-2 x_{2}+\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.948 |
|
| 9106 |
\begin{align*}
y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.949 |
|
| 9107 |
\begin{align*}
x^{\prime }&=2 x-7 y \\
y^{\prime }&=5 x+10 y+4 z \\
z^{\prime }&=5 y+2 z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.949 |
|
| 9108 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime } x +4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.949 |
|
| 9109 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+3 x_{3} \\
x_{2}^{\prime }&=-2 x_{2} \\
x_{3}^{\prime }&=3 x_{1}-x_{3} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 2 \\
x_{2} \left (0\right ) &= -1 \\
x_{3} \left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 9110 |
\begin{align*}
x+y^{\prime }&=\sin \left (t \right )+\cos \left (t \right ) \\
x^{\prime }+y&=\cos \left (t \right )-\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.950 |
|
| 9111 |
\begin{align*}
2 x^{2} \left (3 x +2\right ) y^{\prime \prime }+x \left (4+11 x \right ) y^{\prime }-\left (1-x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.951 |
|
| 9112 |
\begin{align*}
\left (1+a \right ) x y^{\prime }+x^{2} y^{\prime \prime }&=x^{k} f \left (x^{k} y, k y+y^{\prime } x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.951 |
|
| 9113 |
\begin{align*}
y^{\prime } t +y&=\sin \left (t \right ) \\
y \left (1\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✗ |
✓ |
✓ |
0.951 |
|
| 9114 |
\begin{align*}
x^{\prime }&=2 x-y+{\mathrm e}^{t} \\
y^{\prime }&=3 x-2 y+t \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 9115 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.951 |
|
| 9116 |
\begin{align*}
y^{\prime } x +\left (2 x -3\right ) y&=4 x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 9117 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}+x_{3} \\
x_{2}^{\prime }&=9 x_{1}-x_{2}+2 x_{3} \\
x_{3}^{\prime }&=-9 x_{1}+4 x_{2}-x_{3} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 0 \\
x_{2} \left (0\right ) &= 0 \\
x_{3} \left (0\right ) &= 17 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 9118 |
\begin{align*}
\left (4+2 x -y\right ) y^{\prime }+5+x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 9119 |
\begin{align*}
y^{\prime }&={\mathrm e}^{-y}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 9120 |
\begin{align*}
\left (-3 x^{3}+3 x^{2}\right ) y^{\prime \prime }-\left (5 x^{2}+4 x \right ) y^{\prime }+2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 9121 |
\begin{align*}
x^{\prime }&=2 x-y+\cos \left (t \right ) \\
y^{\prime }&=5 x-2 y+\sin \left (t \right ) \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.952 |
|
| 9122 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+x_{2}+x_{3}-2 x_{4} \\
x_{2}^{\prime }&=7 x_{1}-4 x_{2}-6 x_{3}+11 x_{4} \\
x_{3}^{\prime }&=5 x_{1}-x_{2}+x_{3}+3 x_{4} \\
x_{4}^{\prime }&=6 x_{1}-2 x_{2}-2 x_{3}+6 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 9123 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (-x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.953 |
|
| 9124 |
\begin{align*}
\left (x^{2}-2 x +2\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }-3 y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 9125 |
\begin{align*}
x^{\prime \prime }+x&=\cos \left (t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.953 |
|
| 9126 |
\begin{align*}
\left (1+y\right ) y^{\prime }&=y \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 9127 |
\begin{align*}
x^{2} y^{\prime \prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.954 |
|
| 9128 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.954 |
|
| 9129 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.954 |
|
| 9130 |
\begin{align*}
x^{\prime }&=-y \\
y^{\prime }&=x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 9131 |
\begin{align*}
y^{\prime \prime }+\frac {2 y^{\prime }}{2+x}+y&=0 \\
\end{align*} Series expansion around \(x=-2\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 9132 |
\begin{align*}
y^{\prime \prime }+b y^{\prime }+c y&=0 \\
y \left (\pi \right ) &= 0 \\
y \left (2 \pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 9133 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 9134 |
\begin{align*}
2 x^{2} y^{\prime \prime }+7 x \left (x +1\right ) y^{\prime }-3 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.954 |
|
| 9135 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 9136 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+y^{\prime } x +\frac {y}{x}&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.955 |
|
| 9137 |
\begin{align*}
2 y^{\prime \prime } x -\left (x^{3}+1\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 9138 |
\begin{align*}
f \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| 9139 |
\begin{align*}
x^{2} y^{\prime \prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 9140 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.957 |
|
| 9141 |
\begin{align*}
y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.958 |
|
| 9142 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 9143 |
\begin{align*}
2 x \left (x +1\right ) y^{\prime \prime }+3 \left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.958 |
|
| 9144 |
\begin{align*}
y^{\prime }&=\frac {2 x y}{y^{2}-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.958 |
|
| 9145 |
\begin{align*}
y^{\prime }&=-1+{\mathrm e}^{-y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 9146 |
\begin{align*}
y^{\prime \prime }-9 y&=5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.959 |
|
| 9147 |
\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*} |
✓ |
✓ |
✓ |
✗ |
0.960 |
|
| 9148 |
\begin{align*}
4 y y^{\prime }-4 x {y^{\prime }}^{2}+x y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.960 |
|
| 9149 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.960 |
|
| 9150 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 9151 |
\begin{align*}
2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y&=x^{3}+1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.961 |
|
| 9152 |
\begin{align*}
y^{\prime \prime } x +\left (1-x \right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 9153 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+29 y&=5 \delta \left (t -\pi \right )-5 \delta \left (t -2 \pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 9154 |
\begin{align*}
\sqrt {x}\, y^{\prime \prime }+y&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
0.961 |
|
| 9155 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=x \,{\mathrm e}^{x} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.961 |
|
| 9156 |
\begin{align*}
x \left (x^{2}+x +3\right ) y^{\prime \prime }+\left (-x^{2}+x +4\right ) y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.962 |
|
| 9157 |
\begin{align*}
t y^{\prime \prime }-\left (t +4\right ) y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.962 |
|
| 9158 |
\begin{align*}
x^{2} y^{\prime \prime }-\left (3 x^{4}+5 x \right ) y^{\prime }+\left (6 x^{3}+5\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.962 |
|
| 9159 |
\begin{align*}
y^{\prime }&=-\frac {8 x +5}{3 y^{2}+1} \\
y \left (-1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
0.963 |
|
| 9160 |
\begin{align*}
x^{3} y^{\prime \prime }+\left (-1+\cos \left (2 x \right )\right ) y^{\prime }+2 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.963 |
|
| 9161 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime } x +\left (2 x^{2}+5\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.963 |
|
| 9162 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 9163 |
\begin{align*}
y^{\prime } x -\sqrt {a^{2}-x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 9164 |
\begin{align*}
y^{\prime } x&=\arcsin \left (x^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.963 |
|
| 9165 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (x^{2}+3\right ) y^{\prime }+y&=-2 x^{2}+x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 9166 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}-4 x_{2}+3 x_{3} \\
x_{2}^{\prime }&=-9 x_{1}-3 x_{2}-9 x_{3} \\
x_{3}^{\prime }&=4 x_{1}+4 x_{2}+3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 9167 |
\begin{align*}
1-{y^{\prime \prime }}^{2}+2 x y^{\prime \prime } y^{\prime \prime \prime }+\left (-x^{2}+1\right ) {y^{\prime \prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 9168 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 9169 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x^{3} y^{\prime }+\left (3 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 9170 |
\begin{align*}
9 x^{2} y^{\prime \prime }-3 x \left (-2 x^{2}+7\right ) y^{\prime }+\left (2 x^{2}+25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.964 |
|
| 9171 |
\begin{align*}
y^{\prime \prime }+y&=\cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 9172 |
\begin{align*}
2 t^{2}-y+\left (t +y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.964 |
|
| 9173 |
\begin{align*}
y^{\prime }&=y^{2}+2 y-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.964 |
|
| 9174 |
\begin{align*}
2 y-\cot \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.966 |
|
| 9175 |
\begin{align*}
y^{\prime }&={\mathrm e}^{\left (-t +y\right )^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9176 |
\begin{align*}
x +y+\left (x -y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9177 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.967 |
|
| 9178 |
\begin{align*}
y^{\prime \prime }&=0 \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9179 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {25}{4}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9180 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}-25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9181 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9182 |
\begin{align*}
\sqrt {x^{2}+y^{2}}\, y^{\prime \prime }-a \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
0.967 |
|
| 9183 |
\begin{align*}
x^{\prime }&=x \left (1-\frac {x}{4}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9184 |
\begin{align*}
y y^{\prime \prime }+{y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.967 |
|
| 9185 |
\begin{align*}
6 y^{\prime \prime }-5 y^{\prime }+y&=0 \\
y \left (0\right ) &= 4 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9186 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9187 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 0 \\
y \left (1\right ) &= {\mathrm e}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.967 |
|
| 9188 |
\begin{align*}
y^{\prime }&=\frac {x^{2}-1}{1+y^{2}} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 9189 |
\begin{align*}
y^{\prime \prime }+y^{\prime }-6 y&=0 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 9190 |
\begin{align*}
y^{\prime }&=\sec \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.968 |
|
| 9191 |
\begin{align*}
y+\left (y^{2}-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.969 |
|
| 9192 |
\begin{align*}
y^{\prime }&=-1+{\mathrm e}^{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 9193 |
\begin{align*}
4 y^{\prime \prime } x -y^{\prime } x +2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 9194 |
\begin{align*}
y^{\prime \prime } x -y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 9195 |
\begin{align*}
t y^{\prime \prime }-\left (t^{2}+2\right ) y^{\prime }+t y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.970 |
|
| 9196 |
\begin{align*}
y^{\prime \prime }&=\left (\frac {6}{x^{2}}-1\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 9197 |
\begin{align*}
y^{\prime }-5 y&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 9198 |
\begin{align*}
x^{\prime }-2 x+y&={\mathrm e}^{-t} \\
y^{\prime }-3 x+2 y&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 9199 |
\begin{align*}
\left (x +3\right ) y^{\prime \prime }+y^{\prime } x -y&=0 \\
\end{align*} Series expansion around \(x=-3\). |
✓ |
✓ |
✓ |
✓ |
0.970 |
|
| 9200 |
\begin{align*}
-\left (4 x^{2}+1\right ) y+4 y^{\prime } x +4 x^{2} y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.971 |
|