| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 22801 |
\begin{align*}
x y^{\prime }-2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.974 |
|
| 22802 |
\begin{align*}
3 x^{2} y^{3}-y^{2}+y+\left (-y x +2 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.978 |
|
| 22803 |
\begin{align*}
x^{2}+y^{2}-2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.979 |
|
| 22804 |
\begin{align*}
x^{5} y^{\prime }+y^{5}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.980 |
|
| 22805 |
\begin{align*}
1-2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.983 |
|
| 22806 |
\begin{align*}
y^{\prime }&=-\frac {y \left (\ln \left (x -1\right )+\coth \left (x +1\right ) x -\coth \left (x +1\right ) x^{2} y\right )}{x \ln \left (x -1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.985 |
|
| 22807 |
\begin{align*}
x y^{\prime }+x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
7.986 |
|
| 22808 |
\begin{align*}
y^{\prime }+y^{3} \sin \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.986 |
|
| 22809 |
\begin{align*}
y^{\prime }&=y^{2} \\
y \left (1\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.992 |
|
| 22810 |
\begin{align*}
y^{\prime }&=\frac {t^{3}}{y \sqrt {\left (1-y^{2}\right ) \left (t^{4}+9\right )}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.993 |
|
| 22811 |
\begin{align*}
y^{\prime }&=-\frac {x}{2}-\frac {a}{2}+x^{2} \sqrt {x^{2}+2 a x +a^{2}+4 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.994 |
|
| 22812 |
\begin{align*}
\left (x +2 y\right ) y^{\prime }&=1 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
7.999 |
|
| 22813 |
\begin{align*}
x y^{\prime }-5 y-x \sqrt {y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.000 |
|
| 22814 |
\begin{align*}
4 y x +3 y^{2}-x +x \left (x +2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.000 |
|
| 22815 |
\begin{align*}
\left (a^{2}+x^{2}\right ) y^{\prime }&=a^{2}+3 y x -2 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.000 |
|
| 22816 |
\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*} |
✓ |
✓ |
✓ |
✗ |
8.002 |
|
| 22817 |
\begin{align*}
2 x +y+1-\left (4 x +2 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.005 |
|
| 22818 |
\begin{align*}
y^{\prime }&=-\frac {x}{2}-\frac {a}{2}+x \sqrt {x^{2}+2 a x +a^{2}+4 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.007 |
|
| 22819 |
\begin{align*}
x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
8.015 |
|
| 22820 |
\begin{align*}
x y^{\prime }&=1+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.016 |
|
| 22821 |
\begin{align*}
1+y+y^{2}+x \left (x^{2}-4\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.018 |
|
| 22822 |
\begin{align*}
y^{\prime } \sqrt {x^{3}+1}&=\sqrt {y^{3}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.019 |
|
| 22823 |
\begin{align*}
x^{\prime }+x t&={\mathrm e}^{x} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.019 |
|
| 22824 |
\begin{align*}
\left (x y^{\prime }-y\right ) y^{\prime \prime }-\left (1+{y^{\prime }}^{2}\right )^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
8.019 |
|
| 22825 |
\begin{align*}
\left (x +y\right ) y^{\prime }-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.019 |
|
| 22826 |
\begin{align*}
\left (a y+b x +c \right )^{2} y^{\prime }+\left (\alpha y+\beta x +\gamma \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.020 |
|
| 22827 |
\begin{align*}
y^{\prime }&=y \left ({\mathrm e}^{x}+\ln \left (y\right )\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
8.025 |
|
| 22828 |
\begin{align*}
y^{\prime }&=\frac {y^{2}}{x -1}-\frac {x y}{x -1}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.026 |
|
| 22829 |
\begin{align*}
{y^{\prime }}^{4}+f \left (x \right ) \left (y-a \right )^{3} \left (y-b \right )^{3}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.027 |
|
| 22830 |
\begin{align*}
{y^{\prime }}^{4}+x y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.027 |
|
| 22831 |
\begin{align*}
x y^{\prime }-y^{2}+\left (2 x +1\right ) y&=x^{2}+2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.030 |
|
| 22832 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }-3 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
8.034 |
|
| 22833 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}-y^{2}&=-\frac {2}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.036 |
|
| 22834 |
\begin{align*}
x +2 y-1+\left (2 x +4 y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.039 |
|
| 22835 |
\begin{align*}
x -2 y+3&=\left (x -2 y+1\right ) y^{\prime } \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.043 |
|
| 22836 |
\begin{align*}
9 x^{2} y^{\prime \prime }-15 x y^{\prime }+7 \left (x +1\right ) y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
8.044 |
|
| 22837 |
\begin{align*}
x y^{\prime }&=y^{2}-y \\
y \left (\frac {1}{2}\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.046 |
|
| 22838 |
\begin{align*}
\frac {2}{\sqrt {-x^{2}+1}}+y \cos \left (y x \right )+\left (x \cos \left (y x \right )-\frac {1}{y^{{1}/{3}}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.052 |
|
| 22839 |
\begin{align*}
y^{\prime }&=x +y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.059 |
|
| 22840 |
\begin{align*}
y^{\prime }&=y^{2}+a \cos \left (\beta x \right ) y+a b \cos \left (\beta x \right )-b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.061 |
|
| 22841 |
\begin{align*}
x -y^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.061 |
|
| 22842 |
\begin{align*}
x^{\prime }&=\frac {x-t +1}{x-t +2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.062 |
|
| 22843 |
\begin{align*}
y^{\prime }&=\frac {y^{3} {\mathrm e}^{-2 x}}{{\mathrm e}^{-x} y+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.064 |
|
| 22844 |
\begin{align*}
y&=x y^{\prime }+\sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.065 |
|
| 22845 |
\begin{align*}
2 y-4 \left (1-x \right ) y^{\prime }+\left (1-x \right )^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.066 |
|
| 22846 |
\begin{align*}
\frac {y}{x}+\cos \left (y\right )+\left (\ln \left (x \right )-\sin \left (y\right ) x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.067 |
|
| 22847 |
\begin{align*}
y^{\prime \prime }+a y^{\prime }+b \left (-b \,x^{2 n}+a \,x^{n}+n \,x^{n -1}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
8.068 |
|
| 22848 |
\begin{align*}
y^{\prime }&=\frac {y}{-x +y} \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.071 |
|
| 22849 |
\begin{align*}
\frac {x}{\sqrt {x^{2}+y^{2}}}+\frac {1}{x}+\frac {1}{y}+\left (\frac {y}{\sqrt {x^{2}+y^{2}}}+\frac {1}{y}-\frac {x}{y^{2}}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.071 |
|
| 22850 |
\begin{align*}
x^{\prime \prime \prime }-3 x^{\prime }+k x&=0 \\
x \left (0\right ) &= 1 \\
x \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
8.073 |
|
| 22851 |
\begin{align*}
y^{\prime }&=\frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.074 |
|
| 22852 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 x y^{\prime }+f \left (x \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.076 |
|
| 22853 |
\begin{align*}
x^{2} y^{\prime }&=a +b x y+c \,x^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.078 |
|
| 22854 |
\begin{align*}
\frac {3 t^{2}}{y}-\frac {t^{3} y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.079 |
|
| 22855 |
\begin{align*}
y^{\prime }+\frac {x y}{a^{2}+x^{2}}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.081 |
|
| 22856 |
\begin{align*}
y^{\prime }&=\frac {1+\sqrt {x -y}}{1-\sqrt {x -y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.090 |
|
| 22857 |
\begin{align*}
{y^{\prime }}^{3}&=\left (y-a \right )^{2} \left (y-b \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.092 |
|
| 22858 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=5 \cos \left (t \right ) \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right )\right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
8.093 |
|
| 22859 |
\begin{align*}
y^{2}-\left (y x +x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.093 |
|
| 22860 |
\begin{align*}
y^{\prime }&=x^{2} {\mathrm e}^{-3 y} \\
y \left (2\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.095 |
|
| 22861 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime }+2 y x -\cos \left (x \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.096 |
|
| 22862 |
\begin{align*}
-a y-x y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.099 |
|
| 22863 |
\begin{align*}
x y^{\prime }&=\ln \left (y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.101 |
|
| 22864 |
\begin{align*}
3 x^{2} y+2-\left (y+x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.102 |
|
| 22865 |
\begin{align*}
\sin \left (y\right )+y \sin \left (x \right )+\frac {1}{x}+\left (x \cos \left (y\right )-\cos \left (x \right )+\frac {1}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.102 |
|
| 22866 |
\begin{align*}
y^{\prime }&=\frac {b^{3}+y^{2} b^{3}+2 a \,b^{2} x y+a^{2} b \,x^{2}+b^{3} y^{3}+3 a \,b^{2} x y^{2}+3 a^{2} b \,x^{2} y+a^{3} x^{3}}{b^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.109 |
|
| 22867 |
\begin{align*}
y^{2} {y^{\prime }}^{2}+2 y^{3} y^{\prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.110 |
|
| 22868 |
\begin{align*}
{y^{\prime }}^{2}-y^{3}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.111 |
|
| 22869 |
\begin{align*}
{y^{\prime }}^{3}+f \left (x \right ) \left (y-a \right )^{2} \left (y-b \right )^{2} \left (y-c \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.115 |
|
| 22870 |
\begin{align*}
y y^{\prime }&=2 x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.122 |
|
| 22871 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1}+x_{2}-2 x_{3} \\
x_{2}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{3}^{\prime }&=3 x_{1}-x_{2}-3 x_{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.125 |
|
| 22872 |
\begin{align*}
x^{2}+y x +y^{2}&=x^{2} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.126 |
|
| 22873 |
\begin{align*}
y^{\prime }&=\frac {y \left (-\ln \left (x \right )-x \ln \left (\frac {\left (x -1\right ) \left (x +1\right )}{x}\right )+\ln \left (\frac {\left (x -1\right ) \left (x +1\right )}{x}\right ) x^{2} y\right )}{x \ln \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.126 |
|
| 22874 |
\begin{align*}
x y^{\prime }+y^{3}+3 x y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.128 |
|
| 22875 |
\begin{align*}
y^{\prime }&=\frac {\alpha ^{3}+y^{2} \alpha ^{3}+2 y \alpha ^{2} \beta x +\alpha \,\beta ^{2} x^{2}+y^{3} \alpha ^{3}+3 y^{2} \alpha ^{2} \beta x +3 y \alpha \,\beta ^{2} x^{2}+\beta ^{3} x^{3}}{\alpha ^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.130 |
|
| 22876 |
\begin{align*}
y^{\prime \prime }+y&=\frac {1}{\sqrt {\sin \left (x \right )^{5} \cos \left (x \right )}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.131 |
|
| 22877 |
\begin{align*}
y^{\prime }&=\frac {y+1}{x +2}+{\mathrm e}^{\frac {y+1}{x +2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.133 |
|
| 22878 |
\begin{align*}
y^{\prime }&=\frac {\left (-2 y^{{3}/{2}}+3 \,{\mathrm e}^{x}\right )^{2} {\mathrm e}^{x}}{4 \sqrt {y}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.136 |
|
| 22879 |
\begin{align*}
{y^{\prime }}^{2} x +x y^{\prime }-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.137 |
|
| 22880 |
\begin{align*}
\cos \left (-4 y+8 x -3\right ) y^{\prime }&=2+2 \cos \left (-4 y+8 x -3\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.137 |
|
| 22881 |
\begin{align*}
\left (1-3 y^{2}\right ) {y^{\prime }}^{2}+y \left (1+y^{2}\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.140 |
|
| 22882 |
\begin{align*}
x +\sin \left (x \right )+\sin \left (y\right )+\cos \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.142 |
|
| 22883 |
\begin{align*}
y^{\prime }&=2 \sqrt {2 x +y+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.144 |
|
| 22884 |
\begin{align*}
2 \left (1-y\right ) y y^{\prime \prime }&=-\left (1-y\right )^{3} \left (\operatorname {F0} \left (x \right )^{2}-\operatorname {G0} \left (x \right )^{2} y^{2}\right )-4 \left (1-y\right ) y^{2} \left (f \left (x \right )^{2}-g \left (x \right )^{2}+f^{\prime }\left (x \right )+g^{\prime }\left (x \right )\right )-4 y \left (f \left (x \right )+g \left (x \right ) y\right ) y^{\prime }+\left (1-3 y\right ) {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.148 |
|
| 22885 |
\begin{align*}
y^{\prime }&=\left (2 x^{2}-y \,{\mathrm e}^{x}\right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.148 |
|
| 22886 |
\begin{align*}
y y^{\prime \prime }&=1+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.150 |
|
| 22887 |
\begin{align*}
a \csc \left (x \right )^{2} y+\left (2+\cos \left (x \right )\right ) \csc \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.152 |
|
| 22888 |
\begin{align*}
x y^{\prime }+y&=x y y^{\prime }-y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.152 |
|
| 22889 |
\begin{align*}
x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.154 |
|
| 22890 |
\begin{align*}
y^{\prime }&=-y^{3} \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.155 |
|
| 22891 |
\begin{align*}
y^{\prime }&=\frac {x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.156 |
|
| 22892 |
\begin{align*}
3 x y^{\prime }-2 y&=\frac {x^{3}}{y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.157 |
|
| 22893 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y&=\frac {1}{x^{5}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.158 |
|
| 22894 |
\begin{align*}
2 y y^{\prime }+2 x +x^{2}+y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.164 |
|
| 22895 |
\begin{align*}
y^{\prime }&=-x^{2}-x -1-\left (2 x +1\right ) y-y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.164 |
|
| 22896 |
\begin{align*}
y^{\prime }&=\frac {y x +3 x -y-3}{y x -2 x +4 y-8} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.165 |
|
| 22897 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+3 y&=\sin \left (t \right )+\delta \left (t -3 \pi \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
8.165 |
|
| 22898 |
\begin{align*}
-y^{2}+x^{2} y^{\prime }&=0 \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.166 |
|
| 22899 |
\begin{align*}
y^{\prime \prime }&=a^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.170 |
|
| 22900 |
\begin{align*}
y^{\prime }&=-\frac {x}{4}+\frac {1}{4}+x^{2} \sqrt {x^{2}-2 x +1+8 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.174 |
|