| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 22101 |
\begin{align*}
y^{\prime }&=\frac {y \left (\ln \left (y x \right )-1\right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.445 |
|
| 22102 |
\begin{align*}
y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y&=40 \operatorname {Heaviside}\left (-2+t \right ) t^{2} \\
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 ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
8.452 |
|
| 22103 |
\begin{align*}
m y^{\prime \prime }+k y&=0 \\
y \left (0\right ) &= a \\
y^{\prime }\left (0\right ) &= b \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.453 |
|
| 22104 |
\begin{align*}
y+\left (y x -x -y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.456 |
|
| 22105 |
\begin{align*}
y^{\prime } x&=a \,x^{2}+b y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.460 |
|
| 22106 |
\begin{align*}
b y+a x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.460 |
|
| 22107 |
\begin{align*}
\left (x^{3}+3\right ) y^{\prime }+2 y x +5 x^{2}&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.460 |
|
| 22108 |
\begin{align*}
y^{\prime } x&=y+x \sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.467 |
|
| 22109 |
\begin{align*}
z^{\prime \prime }+g z&=0 \\
z \left (\frac {\pi }{3 \sqrt {g}}\right ) &= 5 \\
z \left (\frac {2 \pi }{3 \sqrt {g}}\right ) &= \frac {\pi }{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.470 |
|
| 22110 |
\begin{align*}
y^{\prime }&=-\frac {2 x^{2}+2 x -3 \sqrt {x^{2}+3 y}}{3 \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.471 |
|
| 22111 |
\begin{align*}
y^{\prime \prime } x +\left (1-x \right ) y^{\prime }+m y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.473 |
|
| 22112 |
\begin{align*}
y^{\prime }&=\frac {\sqrt {y}-y}{\tan \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.474 |
|
| 22113 |
\begin{align*}
x^{\prime }-\frac {2 x}{y}&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.479 |
|
| 22114 |
\begin{align*}
y^{\prime }&=\frac {4 t -3 y}{t -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.480 |
|
| 22115 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{\sin \left (x \right )} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.483 |
|
| 22116 |
\begin{align*}
y^{\prime } x +x^{m}+\frac {\left (n -m \right ) y}{2}+x^{n} y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.486 |
|
| 22117 |
\begin{align*}
y+2 \left (y^{4}-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.487 |
|
| 22118 |
\begin{align*}
3 {y^{\prime }}^{2}+4 y^{\prime } x +x^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.497 |
|
| 22119 |
\begin{align*}
{\mathrm e}^{y} \left (x^{2}+1\right ) y^{\prime }-2 x \left (1+{\mathrm e}^{y}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.497 |
|
| 22120 |
\begin{align*}
y^{\prime } x +x +\tan \left (x +y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.498 |
|
| 22121 |
\begin{align*}
\left (y x -1\right )^{2} x y^{\prime }+\left (1+y^{2} x^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.504 |
|
| 22122 |
\begin{align*}
y^{\prime }&=\frac {y^{2}+2 y x +x^{2}+{\mathrm e}^{2 \left (x -y\right )^{2} \left (x +y\right )^{2}}}{y^{2}+2 y x +x^{2}-{\mathrm e}^{2 \left (x -y\right )^{2} \left (x +y\right )^{2}}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.504 |
|
| 22123 |
\begin{align*}
y^{\prime }+\sqrt {\frac {1-y^{2}}{-x^{2}+1}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.504 |
|
| 22124 |
\begin{align*}
u^{\prime \prime }+\frac {u^{\prime }}{4}+u&=\left \{\begin {array}{cc} 1 & \frac {3}{2}\le t <\frac {5}{2} \\ 0 & \operatorname {otherwise} \end {array}\right . \\
u \left (0\right ) &= 0 \\
u^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
8.510 |
|
| 22125 |
\begin{align*}
x -2 y^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.511 |
|
| 22126 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=\left \{\begin {array}{cc} 1 & 0\le t \le \frac {\pi }{2} \\ 0 & \frac {\pi }{2}<t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.513 |
|
| 22127 |
\begin{align*}
x^{\prime \prime }&=4 x^{3}-4 x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.513 |
|
| 22128 |
\begin{align*}
2 y x -\tan \left (y\right )+\left (x^{2}-x \sec \left (y\right )^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.516 |
|
| 22129 |
\begin{align*}
\left (2 x -y+3\right ) y^{\prime }+2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.529 |
|
| 22130 |
\begin{align*}
x^{n} y^{\prime \prime }+\left (x^{n} a +b \right ) y^{\prime }+c \left (\left (a -c \right ) x^{n}+b \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.535 |
|
| 22131 |
\begin{align*}
\frac {2 x}{y^{3}}+\frac {\left (y^{2}-3 x^{2}\right ) y^{\prime }}{y^{4}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.535 |
|
| 22132 |
\begin{align*}
y^{\prime }&=\frac {-2 y x +2 x^{3}-2 x -y^{3}+3 y^{2} x^{2}-3 x^{4} y+x^{6}}{-y+x^{2}-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.539 |
|
| 22133 |
\begin{align*}
y^{\prime }&=y^{3} \\
y \left (-1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.550 |
|
| 22134 |
\begin{align*}
\sin \left (y\right )+\left (x \cos \left (y\right )-y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.550 |
|
| 22135 |
\begin{align*}
y^{\prime \prime }+\left (x^{n} a +b \,x^{m}\right ) y^{\prime }+\left (a \left (n +1\right ) x^{n -1}+b \left (m +1\right ) x^{m -1}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.551 |
|
| 22136 |
\begin{align*}
x^{2}-\sin \left (y\right )^{2}+x \sin \left (2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.552 |
|
| 22137 |
\begin{align*}
y^{\prime }-\frac {y^{2} f^{\prime }\left (x \right )}{g \left (x \right )}+\frac {g^{\prime }\left (x \right )}{f \left (x \right )}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.558 |
|
| 22138 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }+x^{3} \left ({\mathrm e}^{x^{2}}-v^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.560 |
|
| 22139 |
\begin{align*}
y^{\prime }&={| y|} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.562 |
|
| 22140 |
\begin{align*}
x^{\prime }&=1+\cos \left (t -x\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.566 |
|
| 22141 |
\begin{align*}
y^{2}+{y^{\prime }}^{2}+y y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.570 |
|
| 22142 |
\begin{align*}
\left (a^{2} {\mathrm e}^{2 \lambda x}+b \right ) y^{\prime \prime }-b \lambda y^{\prime }-a^{2} \lambda ^{2} k^{2} {\mathrm e}^{2 \lambda x} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.572 |
|
| 22143 |
\begin{align*}
{y^{\prime }}^{3} y^{\prime \prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.574 |
|
| 22144 |
\begin{align*}
x \ln \left (x \right ) y^{\prime }-y&=x^{3} \left (3 \ln \left (x \right )-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.574 |
|
| 22145 |
\begin{align*}
y^{\prime }&=y^{2}+a \sin \left (\beta x \right ) y+a b \sin \left (\beta x \right )-b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.575 |
|
| 22146 |
\begin{align*}
x \left (x +6 y^{2}\right ) y^{\prime }+y x -3 y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.576 |
|
| 22147 |
\begin{align*}
y \left (1+\sqrt {1+x^{2} y^{4}}\right )+2 y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.588 |
|
| 22148 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime } x +\left (3 x^{2}+2 n -1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.598 |
|
| 22149 |
\begin{align*}
x^{2} y^{\prime }&=x^{4} f \left (x \right ) y^{2}+1 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.598 |
|
| 22150 |
\begin{align*}
y^{\prime \prime }+y&=0 \\
y \left (0\right ) &= 2 \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.603 |
|
| 22151 |
\begin{align*}
y^{\prime } \left (1+{y^{\prime }}^{2}\right )+\left (1+y^{2}\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.606 |
|
| 22152 |
\begin{align*}
1+y^{2}+\left (y+x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.606 |
|
| 22153 |
\begin{align*}
2 y x -\sec \left (x \right )^{2}+\left (x^{2}+2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.611 |
|
| 22154 |
\begin{align*}
a \left (\ln \left (y^{\prime }\right )-y^{\prime }\right )-x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.614 |
|
| 22155 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\sin \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.617 |
|
| 22156 |
\begin{align*}
y^{\prime \prime }&=c \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.621 |
|
| 22157 |
\begin{align*}
x^{\prime }&=-\frac {t}{4 x^{3}} \\
x \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.622 |
|
| 22158 |
\begin{align*}
y^{\prime }&=\frac {\left (a -x \right ) y}{d \,x^{2}+c x +b} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.624 |
|
| 22159 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +4 y&=0 \\
y \left (-1\right ) &= 0 \\
y^{\prime }\left (-1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.625 |
|
| 22160 |
\begin{align*}
y^{\prime }&=\sqrt {\frac {9 y^{2}-6 y+2}{x^{2}-2 x +5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.625 |
|
| 22161 |
\begin{align*}
y^{\prime }&=\frac {-18 y x -6 x^{3}-18 x +27 y^{3}+27 y^{2} x^{2}+9 x^{4} y+x^{6}}{27 y+9 x^{2}+27} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.626 |
|
| 22162 |
\begin{align*}
y^{\prime }&=\frac {2 a \left (x y^{2}-4 a +x \right )}{-x^{3} y^{3}+4 a \,x^{2} y-x^{3} y+2 a y^{6} x^{3}-24 y^{4} a^{2} x^{2}+96 y^{2} x \,a^{3}-128 a^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.632 |
|
| 22163 |
\begin{align*}
x^{2}+y^{2}+2 y y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.640 |
|
| 22164 |
\begin{align*}
\ln \left (\cos \left (y^{\prime }\right )\right )+y^{\prime } \tan \left (y^{\prime }\right )&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.642 |
|
| 22165 |
\begin{align*}
\frac {x}{\left (x^{2}+y^{2}\right )^{{3}/{2}}}+\frac {y y^{\prime }}{\left (x^{2}+y^{2}\right )^{{3}/{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.648 |
|
| 22166 |
\begin{align*}
y^{\prime } y^{\prime \prime }&=a^{2} x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.649 |
|
| 22167 |
\begin{align*}
\frac {y^{\prime }}{\theta }&=\frac {y \sin \left (\theta \right )}{y^{2}+1} \\
y \left (\pi \right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.652 |
|
| 22168 |
\begin{align*}
x^{2} y^{\prime \prime }+3 y^{\prime } x +y&=\frac {2}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.652 |
|
| 22169 |
\begin{align*}
y^{\prime } x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.655 |
|
| 22170 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+\left (\operatorname {a1} \,x^{2}+\operatorname {b1} x +\operatorname {c1} \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.663 |
|
| 22171 |
\begin{align*}
x \left (y^{2}+x^{2}-a \right ) y^{\prime }-\left (a +x^{2}+y^{2}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.664 |
|
| 22172 |
\begin{align*}
y^{\prime }&=-\frac {-x -\textit {\_F1} \left (y^{2}-2 x \right )}{\sqrt {y^{2}}\, x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.667 |
|
| 22173 |
\begin{align*}
y^{\prime \prime } x +\left (b -x \right ) y^{\prime }-a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.669 |
|
| 22174 |
\begin{align*}
y^{\prime }&=\frac {32 y x^{5}+8 x^{3}+32 x^{5}+64 x^{6} y^{3}+48 y^{2} x^{4}+12 x^{2} y+1}{16 x^{6} \left (4 x^{2} y+1+4 x^{2}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.674 |
|
| 22175 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x +y^{2}&=y^{2} x^{2}+x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.677 |
|
| 22176 |
\begin{align*}
y^{\prime } \sqrt {a_{4} x^{4}+a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0}}&=\sqrt {b_{0} +b_{1} y+b_{2} y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.678 |
|
| 22177 |
\begin{align*}
y^{\prime }&=\frac {{\mathrm e}^{-x^{2}} x}{y \,{\mathrm e}^{x^{2}}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.679 |
|
| 22178 |
\begin{align*}
\left (c \,x^{2}+2 b x +a \right )^{{3}/{2}} y^{\prime \prime }&=f \left (\frac {x}{\sqrt {c \,x^{2}+2 b x +a}}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.682 |
|
| 22179 |
\begin{align*}
6 x +4 y+3+\left (3 x +2 y+2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.682 |
|
| 22180 |
\begin{align*}
y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y&=120 \,{\mathrm e}^{3 t} \operatorname {Heaviside}\left (t -1\right ) \\
y \left (0\right ) &= 15 \\
y^{\prime }\left (0\right ) &= -6 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
y^{\prime \prime \prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
8.683 |
|
| 22181 |
\begin{align*}
y^{\prime \prime }&=\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.687 |
|
| 22182 |
\begin{align*}
3 y^{\prime } x -2 y&=\frac {x^{3}}{y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.688 |
|
| 22183 |
\begin{align*}
y^{\prime \prime }+4 y&=8 \left (t^{2}+t -1\right ) \operatorname {Heaviside}\left (-2+t \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
8.694 |
|
| 22184 |
\begin{align*}
y^{\prime }&=-\left (-\frac {\ln \left (y\right )}{x}+\frac {\ln \left (y\right )}{x \ln \left (x \right )}-\textit {\_F1} \left (x \right )\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.695 |
|
| 22185 |
\begin{align*}
{y^{\prime }}^{2}+y^{\prime } y^{2} x +y^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.698 |
|
| 22186 |
\begin{align*}
1+y^{2} \sin \left (2 x \right )-2 y \cos \left (x \right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.700 |
|
| 22187 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=2 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.707 |
|
| 22188 |
\begin{align*}
2 y^{\prime \prime } x -\left (x -1\right ) y^{\prime }+a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.710 |
|
| 22189 |
\begin{align*}
y^{\prime }&=\frac {\left (\ln \left (y\right ) x +\ln \left (y\right )+x^{4}\right ) y}{x \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.719 |
|
| 22190 |
\begin{align*}
y y^{\prime \prime }&=y^{3}+{y^{\prime }}^{2} \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.720 |
|
| 22191 |
\begin{align*}
y^{\prime } x&=y-\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.723 |
|
| 22192 |
\begin{align*}
y^{\prime }&=\frac {t^{2}+y^{2}}{t y} \\
y \left ({\mathrm e}\right ) &= 2 \,{\mathrm e} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.723 |
|
| 22193 |
\begin{align*}
y^{\prime } x&=y-y^{3} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.724 |
|
| 22194 |
\begin{align*}
2 \sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y&=y^{3} \left (\cos \left (x \right ) x -\sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.727 |
|
| 22195 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}-x^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.732 |
|
| 22196 |
\begin{align*}
y^{\prime } x&=y \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.732 |
|
| 22197 |
\begin{align*}
y^{\prime }&=y+x \,{\mathrm e}^{y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.734 |
|
| 22198 |
\begin{align*}
y^{\prime }&=\frac {\sin \left (y\right )}{x \cos \left (y\right )-\sin \left (y\right )^{2}} \\
y \left (0\right ) &= \frac {\pi }{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.736 |
|
| 22199 |
\begin{align*}
y^{\prime }&=\left (a \,x^{2 n}+b \,x^{n -1}\right ) y^{2}+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.741 |
|
| 22200 |
\begin{align*}
\sec \left (x \right ) \cos \left (y\right )^{2}-\cos \left (x \right ) \sin \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.744 |
|