| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 7101 |
\begin{align*}
\left (2 x +1\right ) y^{\prime \prime }+\left (4 x -2\right ) y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.889 |
|
| 7102 |
\begin{align*}
x^{\prime \prime }-2 x^{\prime }+2 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 7103 |
\begin{align*}
5 y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.889 |
|
| 7104 |
\begin{align*}
t^{2} y^{\prime \prime }-2 y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 7105 |
\begin{align*}
2 y^{\prime \prime }+3 y^{\prime }+y&={\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 7106 |
\begin{align*}
x^{\prime }&=x+20 y \\
y^{\prime }&=40 x-19 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 7107 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+5 y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= 11 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 7108 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (3 x^{2}-2 y^{2}\right ) y^{\prime }-6 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 7109 |
\begin{align*}
{y^{\prime }}^{2}+2 x^{3} y^{\prime }-4 x^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.890 |
|
| 7110 |
\begin{align*}
x_{1}^{\prime }&=-40 x_{1}-12 x_{2}+54 x_{3} \\
x_{2}^{\prime }&=35 x_{1}+13 x_{2}-46 x_{3} \\
x_{3}^{\prime }&=-25 x_{1}-7 x_{2}+34 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7111 |
\begin{align*}
x^{2} y^{\prime }+2 y&=2 \,{\mathrm e}^{\frac {1}{x}} \sqrt {y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7112 |
\begin{align*}
y_{1}^{\prime }&=3 y_{1}+5 y_{2}+8 y_{3} \\
y_{2}^{\prime }&=y_{1}-y_{2}-2 y_{3} \\
y_{3}^{\prime }&=-y_{1}-y_{2}-y_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7113 |
\begin{align*}
2 t^{2} y^{\prime \prime }+\left (t^{2}-t \right ) y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7114 |
\begin{align*}
x_{1}^{\prime }&=7 x_{1}-x_{2}+6 x_{3} \\
x_{2}^{\prime }&=-10 x_{1}+4 x_{2}-12 x_{3} \\
x_{3}^{\prime }&=-2 x_{1}+x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7115 |
\begin{align*}
y^{\prime \prime }-9 y&=F \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7116 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }+x^{2} y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7117 |
\begin{align*}
4 y^{\prime \prime } x +3 y^{\prime }+3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7118 |
\begin{align*}
y^{\prime \prime }+\frac {\left (1-x \right ) y^{\prime }}{2 x}-\frac {y}{4 x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7119 |
\begin{align*}
5 y^{\prime \prime }+6 y^{\prime }+2 y&=x^{2}+6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7120 |
\begin{align*}
x^{\prime }&=-3 y \\
y^{\prime }&=-2 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7121 |
\begin{align*}
x^{\prime }&=-2 x+7 y \\
y^{\prime }&=3 x+2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 9 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7122 |
\begin{align*}
y^{\prime \prime }+\frac {2 {y^{\prime }}^{2}}{1-y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.891 |
|
| 7123 |
\(\left [\begin {array}{cc} -3 & -1 \\ 2 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.891 |
|
| 7124 |
\begin{align*}
y^{\prime }&=t^{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7125 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=-x-2 y \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7126 |
\begin{align*}
y^{\prime } t -y-2 \left (-y+y^{\prime } t \right )^{2}&=y^{\prime }+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.891 |
|
| 7127 |
\begin{align*}
y^{\prime \prime }+\frac {y}{4}&=\sec \left (\frac {t}{2}\right )+\csc \left (\frac {t}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7128 |
\begin{align*}
x^{\prime \prime }-3 x^{\prime }+2 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7129 |
\begin{align*}
y^{\prime \prime }+y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7130 |
\begin{align*}
5 y^{\prime \prime }+10 y^{\prime }+20 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.891 |
|
| 7131 |
\begin{align*}
y^{\prime \prime }-\tan \left (t \right ) y^{\prime }-\sec \left (t \right )^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.891 |
|
| 7132 |
\begin{align*}
x_{1}^{\prime }&=x_{1}+x_{2}+{\mathrm e}^{2 t} \\
x_{2}^{\prime }&=3 x_{1}-x_{2}+5 \,{\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 7133 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+3 x_{3} \\
x_{2}^{\prime }&=-4 x_{2} \\
x_{3}^{\prime }&=-3 x_{1}+2 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 7134 |
\begin{align*}
y \left (6 y^{2}-x -1\right )+2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 7135 |
\begin{align*}
y^{\prime \prime }-y&=\frac {1}{\left (1+{\mathrm e}^{-x}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 7136 |
\begin{align*}
4 y+y^{\prime \prime }&=\cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.892 |
|
| 7137 |
\begin{align*}
x^{2} y^{\prime \prime \prime }-y^{\prime \prime } x +\left (x^{2}+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.892 |
|
| 7138 |
\begin{align*}
\left (2 x^{5}+1\right ) y^{\prime \prime }+14 x^{4} y^{\prime }+10 x^{3} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 7139 |
\begin{align*}
y^{2} {y^{\prime }}^{3}+2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.893 |
|
| 7140 |
\begin{align*}
x^{\prime }&=a x-y \\
y^{\prime }&=x+a y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 7141 |
\begin{align*}
\left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 y^{\prime } x +4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.893 |
|
| 7142 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-y&=\sin \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 7143 |
\begin{align*}
x^{3} y^{\prime \prime \prime }&=1+\sqrt {x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 7144 |
\begin{align*}
e i u^{\prime \prime \prime \prime }&=\sinh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 7145 |
\begin{align*}
y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.893 |
|
| 7146 |
\begin{align*}
x^{4} y^{\prime \prime }+\lambda y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.894 |
|
| 7147 |
\begin{align*}
y^{\prime }+y&=1 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 7148 |
\begin{align*}
x y^{\prime \prime \prime }+2 y^{\prime \prime }&=6 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 7149 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 y^{\prime } x -6 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 7150 |
\begin{align*}
2 y-2 y^{\prime } x +\left (x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.894 |
|
| 7151 |
\begin{align*}
x^{2} {y^{\prime }}^{2}+3 y y^{\prime } x +2 y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.894 |
|
| 7152 |
\begin{align*}
x^{\prime \prime }&=3 t \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 7153 |
\begin{align*}
y y^{\prime }+y^{\prime \prime }&=-12 f \left (x \right ) y+y^{3}+12 f^{\prime }\left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.895 |
|
| 7154 |
\begin{align*}
x^{2} y^{2} y^{\prime \prime }&=\left (x^{2}+y^{2}\right ) \left (-y+y^{\prime } x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.895 |
|
| 7155 |
\begin{align*}
y^{\prime \prime }+y&=\csc \left (x \right ) \sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 7156 |
\begin{align*}
x^{\prime }+y&=t^{2} \\
-x+y^{\prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 7157 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (-4 x^{2}+x \right ) y^{\prime }+\left (4 x^{2}-2 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.895 |
|
| 7158 |
\begin{align*}
x^{5} y^{\left (5\right )}-2 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.895 |
|
| 7159 |
\begin{align*}
t^{2} y^{\prime \prime }+\left (-t^{2}+t \right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.896 |
|
| 7160 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }-2 y&={\mathrm e}^{t} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.896 |
|
| 7161 |
\begin{align*}
y^{\prime \prime }-2 \sec \left (t \right )^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.896 |
|
| 7162 |
\begin{align*}
x^{\prime }&=4 x+3 y+5 \operatorname {Heaviside}\left (-2+t \right ) \\
y^{\prime }&=x+6 y+17 \operatorname {Heaviside}\left (-2+t \right ) \\
\end{align*}
With initial conditions \begin{align*}
x \left (0\right ) &= 0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.897 |
|
| 7163 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.897 |
|
| 7164 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7165 |
\begin{align*}
4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+8 y^{\prime } x -\left (-x^{2}+35\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7166 |
\begin{align*}
2 t y^{\prime \prime }+\left (1+t \right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(t=0\). |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7167 |
\begin{align*}
x^{\prime }&=-7 x+y-6 z \\
y^{\prime }&=10 x-4 y+12 z \\
z^{\prime }&=2 x-y+z \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7168 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{3 x} \left (1+\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7169 |
\begin{align*}
y^{\prime \prime }-\frac {y^{\prime }}{2 x}+\frac {y}{4 x}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7170 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7171 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=2 \,{\mathrm e}^{x} \left (1-x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7172 |
\begin{align*}
y^{\prime }-y&=2 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7173 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7174 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7175 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\frac {1}{1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.898 |
|
| 7176 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.898 |
|
| 7177 |
\begin{align*}
a \cos \left (x \right ) y-\sin \left (x \right ) y^{2}+\left (b \cos \left (x \right ) y-x \sin \left (x \right ) y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.899 |
|
| 7178 |
\begin{align*}
2 y^{\prime \prime }+5 y^{\prime }-3 y&=\sin \left (x \right )-8 x \\
y \left (0\right ) &= {\frac {1}{2}} \\
y^{\prime }\left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 7179 |
\begin{align*}
y^{\prime \prime }-\frac {3 y^{\prime }}{x \left (1-x \right )}+\frac {2 y}{x \left (1-x \right )}&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 7180 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+9 y&=\cosh \left (x \right ) {\mathrm e}^{-3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.899 |
|
| 7181 |
\begin{align*}
2 y y^{\prime \prime }&=8 y^{3}-2 y^{2} \left (f \left (x \right )^{2}+f^{\prime }\left (x \right )\right )-3 f \left (x \right ) y y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
0.899 |
|
| 7182 |
\begin{align*}
\left (-t^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } t +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.900 |
|
| 7183 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }-\left (2+x \right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 7184 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&=16 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 7185 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+25 y&=120 \sin \left (5 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 7186 |
\begin{align*}
x^{\prime }&=3 x+y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 7187 |
\begin{align*}
y^{\prime \prime }&=\frac {y^{\prime }}{x \left (\ln \left (x \right )-1\right )}-\frac {y}{x^{2} \left (\ln \left (x \right )-1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.900 |
|
| 7188 |
\begin{align*}
y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y&=0 \\
y \left (0\right ) &= 6 \\
y^{\prime }\left (0\right ) &= -28 \\
y^{\prime \prime }\left (0\right ) &= -102 \\
y^{\prime \prime \prime }\left (0\right ) &= 622 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 7189 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=30 x \cos \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 7190 |
\begin{align*}
y^{\prime \prime }&=\delta \left (t -3\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.900 |
|
| 7191 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (-k^{2}+x^{2}\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.900 |
|
| 7192 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+x_{2}-2 x_{3} \\
x_{2}^{\prime }&=4 x_{1}+x_{2} \\
x_{3}^{\prime }&=2 x_{1}+x_{2}-x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.901 |
|
| 7193 |
\begin{align*}
4 y-\left (x +4\right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.901 |
|
| 7194 |
\begin{align*}
2 \left (1-y\right ) y y^{\prime \prime }&=f \left (x \right ) \left (1-y\right ) y y^{\prime }+\left (1-2 y\right ) {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
0.901 |
|
| 7195 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+10 y&=100 \cos \left (4 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.901 |
|
| 7196 |
\begin{align*}
{\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \left (y\right )+2 \csc \left (y\right ) y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.901 |
|
| 7197 |
\begin{align*}
y^{2} {y^{\prime }}^{2}-a^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.901 |
|
| 7198 |
\begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.901 |
|
| 7199 |
\begin{align*}
x^{\prime }&=3 t^{2}+4 t \\
x \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.901 |
|
| 7200 |
\begin{align*}
x^{\prime \prime }+6 x^{\prime }+13 x&=10 \sin \left (5 t \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.902 |
|