| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 22001 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }+a x y^{2}+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.523 |
|
| 22002 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (1-2 x \right ) y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.529 |
|
| 22003 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (4 x +3\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.530 |
|
| 22004 |
\begin{align*}
x +y^{\prime } y \left (2 {y^{\prime }}^{2}+3\right )&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
6.531 |
|
| 22005 |
\begin{align*}
y^{\prime }&=y^{2} \sin \left (x^{2}\right ) \\
y \left (-2\right ) &= {\frac {1}{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.533 |
|
| 22006 |
\begin{align*}
x^{2} y^{\prime \prime }-x y^{\prime }+y&=2 \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.533 |
|
| 22007 |
\begin{align*}
y^{\prime }&=\frac {{\mathrm e}^{\sqrt {x}}}{y} \\
y \left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.534 |
|
| 22008 |
\begin{align*}
\left (x +1\right ) y^{\prime }+y x&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.536 |
|
| 22009 |
\begin{align*}
y^{\prime }&=\sqrt {y}\, \cos \left (t \right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.536 |
|
| 22010 |
\begin{align*}
\left (x^{3}+1\right ) y^{\prime }+6 x^{2} y&=6 x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.537 |
|
| 22011 |
\begin{align*}
x y^{\prime }-y&=\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.537 |
|
| 22012 |
\begin{align*}
y^{\prime }+y&=x y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.539 |
|
| 22013 |
\begin{align*}
x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.542 |
|
| 22014 |
\begin{align*}
4 y^{2}+10 y x -4 y+8+x \left (2 x +2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.542 |
|
| 22015 |
\begin{align*}
x y^{\prime }&=y+\sqrt {x^{2}+y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.546 |
|
| 22016 |
\begin{align*}
y^{\prime }&=4 t^{2}-t y^{2} \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.548 |
|
| 22017 |
\begin{align*}
y^{\prime }&=\frac {-x^{2}+x +1+y^{2}+5 x^{2} y-2 y x +4 x^{4}-3 x^{3}+y^{3}+3 x^{2} y^{2}-3 x y^{2}+3 x^{4} y-6 x^{3} y+x^{6}-3 x^{5}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.549 |
|
| 22018 |
\begin{align*}
2 y \sin \left (x \right )-\cos \left (x \right )^{3}+\cos \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.549 |
|
| 22019 |
\begin{align*}
y^{\prime }&=\frac {\left (1+2 y\right ) \left (y+1\right )}{x \left (-2 y-2+x y^{3}+2 x y^{4}\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.550 |
|
| 22020 |
\begin{align*}
{y^{\prime }}^{2}-\left (4+y^{2}\right ) y^{\prime }+4+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.551 |
|
| 22021 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (6+x \right ) y^{\prime }+10 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.553 |
|
| 22022 |
\begin{align*}
h \left (y\right ) y^{\prime \prime }+a h \left (y\right ) {y^{\prime }}^{2}+j \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.553 |
|
| 22023 |
\begin{align*}
{y^{\prime }}^{2} x^{2}-2 x y y^{\prime }-x^{4}+\left (-x^{2}+1\right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.555 |
|
| 22024 |
\begin{align*}
y^{\prime }-f_{3} \left (x \right ) y^{3}-f_{2} \left (x \right ) y^{2}-f_{1} \left (x \right ) y-f_{0} \left (x \right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
6.557 |
|
| 22025 |
\begin{align*}
y+\ln \left (t \right ) y^{\prime }&=\cot \left (t \right ) \\
y \left (2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.557 |
|
| 22026 |
\begin{align*}
x^{2} y^{\prime \prime }-x \left (6+x \right ) y^{\prime }+10 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
6.558 |
|
| 22027 |
\begin{align*}
y^{\prime }-f \left (x \right ) \left (y-g \left (x \right )\right ) \sqrt {\left (y-a \right ) \left (y-b \right )}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
6.558 |
|
| 22028 |
\begin{align*}
y^{\prime }&=\frac {2 y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.559 |
|
| 22029 |
\begin{align*}
y^{\prime }&=2 x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.560 |
|
| 22030 |
\begin{align*}
\left (1+3 x \right ) x y^{\prime \prime }-\left (x +1\right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.563 |
|
| 22031 |
\begin{align*}
\sqrt {t^{2}+1}\, y+y^{\prime }&=0 \\
y \left (0\right ) &= \sqrt {5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.567 |
|
| 22032 |
\begin{align*}
x^{2} y^{\prime }+2 y x&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.569 |
|
| 22033 |
\begin{align*}
x \left (6 y x +5\right )+\left (2 x^{3}+3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.569 |
|
| 22034 |
\begin{align*}
\left (3 x y^{2}-x^{2}\right ) y^{\prime }+y^{3}-2 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.569 |
|
| 22035 |
\begin{align*}
y^{\prime \prime }+\left (a \,{\mathrm e}^{\left (\lambda +\mu \right ) x}+a \lambda \,{\mathrm e}^{\lambda x}+b \,{\mathrm e}^{\mu x}-2 \lambda \right ) y^{\prime }+a^{2} b \lambda \,{\mathrm e}^{\left (\mu +2 \lambda \right ) x} y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
6.572 |
|
| 22036 |
\begin{align*}
y^{\prime }-\frac {2 y}{x}&=x^{2} \sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.572 |
|
| 22037 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+\frac {5 y}{4}&=\left \{\begin {array}{cc} \sin \left (t \right ) & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.574 |
|
| 22038 |
\begin{align*}
1&=\frac {y}{1-x^{2} y^{2}}+\frac {x y^{\prime }}{1-x^{2} y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.575 |
|
| 22039 |
\begin{align*}
2 \left (1-y\right )^{2} y-2 x \left (1-y\right ) y^{\prime }+2 {y^{\prime }}^{2} x^{2}+x^{2} \left (1-y\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.576 |
|
| 22040 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.579 |
|
| 22041 |
\begin{align*}
\left (x^{3}+4 x \right ) y^{\prime \prime }-2 x y^{\prime }+6 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.580 |
|
| 22042 |
\begin{align*}
y^{\prime }&=\frac {\left (x +y+1\right ) y}{\left (y^{4}+y^{3}+y^{2}+x \right ) \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.582 |
|
| 22043 |
\begin{align*}
5 y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.583 |
|
| 22044 |
\begin{align*}
x -2 y-1-\left (x -3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.583 |
|
| 22045 |
\begin{align*}
y^{\prime \prime }+\left (a \cosh \left (x \right )^{2}+b \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.586 |
|
| 22046 |
\begin{align*}
-x y^{\prime }+y&=a \left (y^{\prime }+y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.586 |
|
| 22047 |
\begin{align*}
y^{3} y^{\prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.586 |
|
| 22048 |
\begin{align*}
y \,{\mathrm e}^{x} y^{\prime }&={\mathrm e}^{-y}+{\mathrm e}^{-2 x -y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.587 |
|
| 22049 |
\begin{align*}
u^{2} v-\left (u^{3}+v^{3}\right ) v^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.590 |
|
| 22050 |
\begin{align*}
x y^{\prime \prime }-\left (3 x -2\right ) y^{\prime }-\left (2 x -3\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.592 |
|
| 22051 |
\begin{align*}
x y^{\prime }&=2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.597 |
|
| 22052 |
\begin{align*}
3 x^{2} \left (1+\ln \left (y\right )\right )+\left (\frac {x^{3}}{y}-2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.598 |
|
| 22053 |
\begin{align*}
x y^{\prime }+x^{m}+\frac {\left (n -m \right ) y}{2}+x^{n} y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.603 |
|
| 22054 |
\begin{align*}
\cos \left (x \right )^{2} \sin \left (x \right ) y^{\prime }+\cos \left (x \right )^{3} y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.603 |
|
| 22055 |
\begin{align*}
y+2 \left (y^{4}-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.603 |
|
| 22056 |
\begin{align*}
x y^{\prime }-y-x \sin \left (\frac {y}{x}\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.607 |
|
| 22057 |
\begin{align*}
y^{\prime }&=-\frac {216 y}{-216 y^{4}-252 y^{3}-396 y^{2}-216 y+36 x^{2}-72 y x +60 y^{5}-36 x y^{3}-72 x y^{2}-24 x y^{4}+4 y^{8}+12 y^{7}+33 y^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.607 |
|
| 22058 |
\begin{align*}
\left (x^{3}+x \right ) y^{\prime }+y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.611 |
|
| 22059 |
\begin{align*}
\left (-a^{2}+{\mathrm e}^{\frac {2}{x}}\right ) y+x^{4} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.613 |
|
| 22060 |
\begin{align*}
y^{\prime }&=-\frac {x \left ({\mathrm e}^{-3 x^{2}} x^{6}-6 \,{\mathrm e}^{-2 x^{2}} x^{4} y-2 \,{\mathrm e}^{-2 x^{2}} x^{4}+12 x^{2} {\mathrm e}^{-x^{2}} y^{2}+8 x^{2} {\mathrm e}^{-x^{2}} y+8 x^{2} {\mathrm e}^{-x^{2}}-8 y^{3}-8 y^{2}-8 \,{\mathrm e}^{-x^{2}}-8\right )}{8} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.614 |
|
| 22061 |
\begin{align*}
a \tan \left (x \right )^{2} y-2 \cot \left (2 x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.615 |
|
| 22062 |
\begin{align*}
2 y y^{\prime }+2 x +x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.616 |
|
| 22063 |
\begin{align*}
x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.616 |
|
| 22064 |
\begin{align*}
y \ln \left (y^{\prime }\right )+y^{\prime }-\ln \left (y\right ) y-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.617 |
|
| 22065 |
\begin{align*}
x^{2} y^{\prime }&=1+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.618 |
|
| 22066 |
\begin{align*}
\sin \left (x \right ) \cos \left (y\right )+\cos \left (x \right ) \sin \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.621 |
|
| 22067 |
\begin{align*}
y y^{\prime \prime }&={y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-\cos \left (y\right ) y y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.622 |
|
| 22068 |
\begin{align*}
{\mathrm e}^{\frac {y}{x}}-\frac {y}{x}+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.624 |
|
| 22069 |
\begin{align*}
2 x^{2} y+2 \sqrt {1+y^{2} x^{4}}+x^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.624 |
|
| 22070 |
\begin{align*}
-y+\left (1-2 x \right ) \left (1-x \right ) x y^{\prime }+x^{2} \left (1-x \right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.625 |
|
| 22071 |
\begin{align*}
m x^{\prime \prime }&=f \left (x\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.625 |
|
| 22072 |
\begin{align*}
\left (a y-b x \right )^{2} \left (a^{2} {y^{\prime }}^{2}+b^{2}\right )-c^{2} \left (a y^{\prime }+b \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.627 |
|
| 22073 |
\begin{align*}
y^{\prime }&=\frac {y}{x} \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.630 |
|
| 22074 |
\begin{align*}
y^{\prime \prime }&=\frac {m \sqrt {1+{y^{\prime }}^{2}}}{k} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.631 |
|
| 22075 |
\begin{align*}
y^{\prime }&=y+\frac {y}{x \ln \left (x \right )} \\
y \left ({\mathrm e}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.635 |
|
| 22076 |
\begin{align*}
y^{\prime }&=\left (4 x +y+1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.637 |
|
| 22077 |
\begin{align*}
y^{\prime }+\cos \left (x \right ) y&=\frac {\sin \left (2 x \right )}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.638 |
|
| 22078 |
\begin{align*}
y^{\prime }&=\frac {t}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.638 |
|
| 22079 |
\begin{align*}
t y^{\prime }+2 \ln \left (t \right ) y&=4 \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.638 |
|
| 22080 |
\begin{align*}
y^{\prime }&=x y^{3} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.641 |
|
| 22081 |
\begin{align*}
y^{\prime \prime }-2 x y^{\prime }+2 \alpha y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.641 |
|
| 22082 |
\begin{align*}
y^{\prime }+3 y t&=4-4 t^{2}+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.642 |
|
| 22083 |
\begin{align*}
2 x y^{\prime }&=1-y^{2} \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.644 |
|
| 22084 |
\begin{align*}
y y^{\prime }+b y^{2}&=a \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.645 |
|
| 22085 |
\begin{align*}
a y^{\prime }+b y&=k \,{\mathrm e}^{-\lambda x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.646 |
|
| 22086 |
\begin{align*}
y^{\prime }&=\left (x +y-4\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.647 |
|
| 22087 |
\begin{align*}
2 x^{3} y y^{\prime }+3 x^{2} y^{2}+7&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.649 |
|
| 22088 |
\begin{align*}
y^{\prime }&=\frac {y+x^{3} b \ln \left (\frac {1}{x}\right )+b \,x^{4}+b \,x^{3}+x a y^{2} \ln \left (\frac {1}{x}\right )+a \,x^{2} y^{2}+a x y^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.653 |
|
| 22089 |
\begin{align*}
x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.656 |
|
| 22090 |
\begin{align*}
t -s+t s^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.657 |
|
| 22091 |
\begin{align*}
x y^{\prime \prime }+\left (-x +3\right ) y^{\prime }-5 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.658 |
|
| 22092 |
\begin{align*}
y^{\prime }+y&=\left \{\begin {array}{cc} 5 & 0\le x <10 \\ 1 & 10\le x \end {array}\right . \\
y \left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.660 |
|
| 22093 |
\begin{align*}
y^{\prime }&=\frac {2 \left (y+2\right )^{2}}{\left (x +y-1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.661 |
|
| 22094 |
\begin{align*}
x^{\prime }&=x-y+z+t -1 \\
y^{\prime }&=2 x+y-z-3 t^{2} \\
z^{\prime }&=x+y+z+t^{2}-t +2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.664 |
|
| 22095 |
\begin{align*}
x y y^{\prime }-y^{2}+a \,x^{3} \cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.665 |
|
| 22096 |
\begin{align*}
y^{2}&=\left (x y y^{\prime }+1\right ) \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.666 |
|
| 22097 |
\begin{align*}
\cos \left (x \right ) y^{\prime \prime }+\sin \left (x \right ) y^{\prime }-2 \cos \left (x \right )^{3} y&=2 \cos \left (x \right )^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.667 |
|
| 22098 |
\begin{align*}
\sqrt {\left (x +a \right ) \left (x +b \right )}\, \left (2 y^{\prime }-3\right )+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.672 |
|
| 22099 |
\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*} |
✓ |
✓ |
✓ |
✓ |
6.673 |
|
| 22100 |
\begin{align*}
x^{\prime }&=-x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.676 |
|