| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 21701 |
\begin{align*}
\left (x^{2}+a \right ) y+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.066 |
|
| 21702 |
\begin{align*}
y y^{\prime \prime }-{y^{\prime }}^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.067 |
|
| 21703 |
\begin{align*}
1+2 y+\left (-x^{2}+4\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.070 |
|
| 21704 |
\begin{align*}
5 y+{y^{\prime }}^{2}&=x \left (x +y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
6.070 |
|
| 21705 |
\begin{align*}
5 y x +4 y^{2}+1+\left (x^{2}+2 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.073 |
|
| 21706 |
\begin{align*}
y^{\prime \prime }-7 y^{\prime }+6 y&={\mathrm e}^{t}+\delta \left (t -2\right )+\delta \left (-4+t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.073 |
|
| 21707 |
\begin{align*}
1+y^{2}&=\left (\arctan \left (y\right )-x \right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.077 |
|
| 21708 |
\begin{align*}
y^{\prime }&=-\left (-\frac {\ln \left (y\right )}{x}+\frac {\cos \left (x \right ) \ln \left (y\right )}{\sin \left (x \right )}-\textit {\_F1} \left (x \right )\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.078 |
|
| 21709 |
\begin{align*}
x^{\prime }+\frac {x}{y}&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.079 |
|
| 21710 |
\begin{align*}
x y^{\prime }+y&=y^{2} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.079 |
|
| 21711 |
\begin{align*}
x^{2}-\sin \left (y\right )^{2}+x \sin \left (2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.082 |
|
| 21712 |
\begin{align*}
y^{\prime }&=y \left (y^{2}+y \,{\mathrm e}^{b x}+{\mathrm e}^{2 b x}\right ) {\mathrm e}^{-2 b x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.082 |
|
| 21713 |
\begin{align*}
y y^{\prime }+a y^{2}-b \cos \left (x +c \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.083 |
|
| 21714 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )+y+\left ({\mathrm e}^{x} \cos \left (y\right )+x +{\mathrm e}^{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.083 |
|
| 21715 |
\begin{align*}
\sin \left (x y^{\prime }\right ) \cos \left (y\right )&=\cos \left (x y^{\prime }\right ) \sin \left (y\right )+y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.083 |
|
| 21716 |
\begin{align*}
\left (x^{2}+1\right ) \left (1+y^{2}\right ) y^{\prime }+2 x y \left (1-y\right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.086 |
|
| 21717 |
\begin{align*}
y^{\prime }&=1-\frac {y}{x} \\
y \left (\frac {3}{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.086 |
|
| 21718 |
\begin{align*}
x^{2} y^{\prime }&=1+y x +x^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.086 |
|
| 21719 |
\begin{align*}
y^{\prime }-\frac {y}{x}&=-\frac {1}{2 y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.086 |
|
| 21720 |
\begin{align*}
1+\ln \left (y x \right )+\frac {x y^{\prime }}{y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.089 |
|
| 21721 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+8 y&=\left (1-\operatorname {Heaviside}\left (-4+t \right )\right ) \cos \left (-4+t \right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.091 |
|
| 21722 |
\begin{align*}
\cos \left (y\right ) y^{\prime }&=\sin \left (x +y\right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
6.092 |
|
| 21723 |
\begin{align*}
x y^{\prime }&=2 x +3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.095 |
|
| 21724 |
\begin{align*}
a \left (2+a \right )^{2} y y^{\prime \prime }&=-a^{2} f \left (x \right )^{2} y^{4}+a^{2} \left (2+a \right ) y^{3} f^{\prime }\left (x \right )+a \left (2+a \right )^{2} f \left (x \right ) y^{2} y^{\prime }+\left (a -1\right ) \left (2+a \right )^{2} {y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
6.097 |
|
| 21725 |
\begin{align*}
y^{\prime }&=y^{2}+\lambda a +a \left (\lambda -a \right ) \tan \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.098 |
|
| 21726 |
\begin{align*}
\left (\left (1-a \right ) x^{2}+y^{2}\right ) {y^{\prime }}^{2}+2 a x y y^{\prime }+x^{2}+\left (1-a \right ) y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.102 |
|
| 21727 |
\begin{align*}
-x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.102 |
|
| 21728 |
\begin{align*}
y^{4}-2 y x +3 x^{2} y^{\prime }&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.103 |
|
| 21729 |
\begin{align*}
x y^{\prime }&=x +2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.105 |
|
| 21730 |
\begin{align*}
x y^{\prime }+y&=a \left (-x^{2}+1\right ) y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.107 |
|
| 21731 |
\begin{align*}
2 x^{2} y y^{\prime }+y^{2}-2 x^{3}-x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.107 |
|
| 21732 |
\begin{align*}
x^{2} y^{\prime }&=a \,x^{2} y^{2}+b x y+c \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.107 |
|
| 21733 |
\begin{align*}
x y^{3} y^{\prime }&=y^{4}-x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.107 |
|
| 21734 |
\begin{align*}
\left (a^{2}+x^{2}\right ) y^{\prime }&=2 x \left (\left (a^{2}+x^{2}\right )^{2}+3 y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.108 |
|
| 21735 |
\begin{align*}
\frac {2 x^{2}}{x^{2}+y^{2}}+\ln \left (x^{2}+y^{2}\right )+\frac {2 x y y^{\prime }}{x^{2}+y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.112 |
|
| 21736 |
\begin{align*}
x y^{\prime }+\frac {y^{2}}{x}&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.112 |
|
| 21737 |
\begin{align*}
\left (2 x \,{\mathrm e}^{y}+y^{4}\right ) y^{\prime }&=y \,{\mathrm e}^{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.115 |
|
| 21738 |
\begin{align*}
\left (x +a \right )^{2} y^{\prime }&=2 \left (x +a \right ) \left (b +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.116 |
|
| 21739 |
\begin{align*}
x y^{\prime }&=y \left (-2 y+1\right ) \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.117 |
|
| 21740 |
\begin{align*}
\left (y+1\right ) y^{\prime }&=x^{2} \left (1-y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.118 |
|
| 21741 |
\begin{align*}
\frac {y}{t}+\ln \left (y\right )+\left (\frac {t}{y}+\ln \left (t \right )\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.118 |
|
| 21742 |
\begin{align*}
{y^{\prime }}^{2} x^{2}-2 x y y^{\prime }&=x^{2}+3 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.118 |
|
| 21743 |
\begin{align*}
-a y^{3}-\frac {b}{x^{{3}/{2}}}+y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.121 |
|
| 21744 |
\begin{align*}
y^{\prime }&=\frac {1}{x^{2}-y^{2}} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
6.122 |
|
| 21745 |
\begin{align*}
y^{\prime \prime }&=\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.124 |
|
| 21746 |
\begin{align*}
y^{\prime }-2 y x +y^{2}&=-x^{2}+5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.125 |
|
| 21747 |
\begin{align*}
x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.126 |
|
| 21748 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }+6 y&=\left \{\begin {array}{cc} 6 & 0<t <2 \\ 0 & 2<t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.127 |
|
| 21749 |
\begin{align*}
y^{\prime }+2 x y^{2}&=0 \\
y \left (-2\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.128 |
|
| 21750 |
\begin{align*}
y^{\prime }+y x&=x y^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.129 |
|
| 21751 |
\begin{align*}
-x y^{\prime }+y&=x y^{3} y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.131 |
|
| 21752 |
\begin{align*}
x^{2}+\ln \left (y\right )+\frac {x y^{\prime }}{y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.131 |
|
| 21753 |
\begin{align*}
y^{\prime }&=-F \left (x \right ) \left (y^{2}-2 y x -x^{2}\right )+\frac {y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.132 |
|
| 21754 |
\begin{align*}
x y^{\prime }+\left (-a \,x^{2}+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.134 |
|
| 21755 |
\begin{align*}
y^{\prime }&=\frac {y^{2}+2 y x +x^{2}+{\mathrm e}^{-2 \left (x -y\right ) \left (x +y\right )}}{y^{2}+2 y x +x^{2}-{\mathrm e}^{-2 \left (x -y\right ) \left (x +y\right )}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.134 |
|
| 21756 |
\begin{align*}
y y^{\prime }&=x +1 \\
y \left (1\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.135 |
|
| 21757 |
\begin{align*}
y^{\prime \prime }+2 n y^{\prime } \cot \left (x \right )+\left (-a^{2}+n^{2}\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.135 |
|
| 21758 |
\begin{align*}
\left (x^{3}+2 y\right ) y^{\prime }&=3 x \left (2-y x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.138 |
|
| 21759 |
\begin{align*}
{y^{\prime }}^{2} x^{2}+x \left (x^{3}-2 y\right ) y^{\prime }-\left (2 x^{3}-y\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.138 |
|
| 21760 |
\begin{align*}
x \left (x^{2}+1\right )^{2} y^{\prime \prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.138 |
|
| 21761 |
\begin{align*}
y^{\prime }&=-\frac {a x}{2}+1+y^{2}+\frac {a \,x^{2} y}{2}+b x y+\frac {a^{2} x^{4}}{16}+\frac {a \,x^{3} b}{4}+\frac {b^{2} x^{2}}{4}+y^{3}+\frac {3 a \,x^{2} y^{2}}{4}+\frac {3 b x y^{2}}{2}+\frac {3 y a^{2} x^{4}}{16}+\frac {3 y a \,x^{3} b}{4}+\frac {3 b^{2} x^{2} y}{4}+\frac {a^{3} x^{6}}{64}+\frac {3 a^{2} x^{5} b}{32}+\frac {3 b^{2} x^{4} a}{16}+\frac {b^{3} x^{3}}{8} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.138 |
|
| 21762 |
\begin{align*}
y^{\prime }&=y^{3}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.138 |
|
| 21763 |
\begin{align*}
y^{\prime }+y \cot \left (x \right )&=y^{3} \sin \left (x \right )^{3} \\
y \left (\frac {\pi }{2}\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.139 |
|
| 21764 |
\begin{align*}
y^{\prime }&=x^{2}-y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.140 |
|
| 21765 |
\begin{align*}
y^{\prime }&=-\frac {2 x^{2}+2 x -3 \sqrt {x^{2}+3 y}}{3 \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.140 |
|
| 21766 |
\begin{align*}
y+\left (-4+t \right ) t y^{\prime }&=0 \\
y \left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.140 |
|
| 21767 |
\begin{align*}
x^{2} y^{\prime }&=2 x^{2}+y^{2}+4 y x \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.141 |
|
| 21768 |
\begin{align*}
y^{\prime }&=\frac {x +2 y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.142 |
|
| 21769 |
\begin{align*}
1+y^{2}+\left (y+x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.145 |
|
| 21770 |
\begin{align*}
y^{\prime }&=\frac {x}{y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.146 |
|
| 21771 |
\begin{align*}
y^{\prime }&=\sin \left (x -y+1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.147 |
|
| 21772 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+\left (c x +d \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.147 |
|
| 21773 |
\begin{align*}
y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y&=40 \operatorname {Heaviside}\left (t -2\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. |
✓ |
✓ |
✓ |
✓ |
6.151 |
|
| 21774 |
\begin{align*}
t^{2}-y+\left (y-t \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.153 |
|
| 21775 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=x^{3} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.155 |
|
| 21776 |
\begin{align*}
\cos \left (x \right )^{2}-\cos \left (x \right ) y-\left (1+\sin \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.155 |
|
| 21777 |
\begin{align*}
y^{\prime }&=-\frac {2 y}{x}-3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.155 |
|
| 21778 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (-a^{2} \sinh \left (x \right )^{2}-\left (n -1\right ) n \right ) y}{\sinh \left (x \right )^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.156 |
|
| 21779 |
\begin{align*}
\left (x +1\right ) y^{\prime }&=-1+y \\
y \left (\infty \right ) &= y_{0} \\
\end{align*} |
✗ |
✓ |
✗ |
✓ |
6.156 |
|
| 21780 |
\begin{align*}
y^{\prime }&=\frac {x}{2}+1+y^{2}+\frac {x^{2} y}{4}-y x -\frac {x^{4}}{8}+\frac {x^{3}}{8}+\frac {x^{2}}{4}+y^{3}-\frac {3 x^{2} y^{2}}{4}-\frac {3 x y^{2}}{2}+\frac {3 x^{4} y}{16}+\frac {3 x^{3} y}{4}-\frac {x^{6}}{64}-\frac {3 x^{5}}{32} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.161 |
|
| 21781 |
\begin{align*}
x \sin \left (y\right ) y^{\prime }&=\cos \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.161 |
|
| 21782 |
\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. |
✓ |
✓ |
✓ |
✓ |
6.162 |
|
| 21783 |
\begin{align*}
3 \cos \left (3 x \right ) \cos \left (2 y\right )-2 \sin \left (3 x \right ) \sin \left (2 y\right ) y^{\prime }&=0 \\
y \left (\frac {\pi }{12}\right ) &= \frac {\pi }{8} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.162 |
|
| 21784 |
\begin{align*}
x y^{\prime }&=y+2 \sqrt {y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.164 |
|
| 21785 |
\begin{align*}
y^{\prime }&=\left (x -3\right ) \left (y+1\right )^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.164 |
|
| 21786 |
\begin{align*}
x^{2} y+y^{3}-x +\left (x^{3}-y+x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.164 |
|
| 21787 |
\begin{align*}
x^{2}+y^{2}+2 y y^{\prime }&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.164 |
|
| 21788 |
\begin{align*}
b +a x y-\left (-12 x^{2}+k \,x^{-1+k}\right ) \left (y^{2}+3 y^{\prime }\right )+2 \left (-4 x^{3}+x^{k}\right ) \left (y y^{\prime }+y^{\prime \prime }-y^{3}\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
6.168 |
|
| 21789 |
\begin{align*}
y+\left (y x -x -y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.173 |
|
| 21790 |
\begin{align*}
\tan \left (\theta \right ) r^{\prime }-r&=\tan \left (\theta \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.174 |
|
| 21791 |
\begin{align*}
y^{\prime }&=\frac {2 y^{8}}{y^{5}+2 y^{6}+2 y^{2}+16 x y^{4}+32 y^{6} x^{2}+2+24 x y^{2}+96 x^{2} y^{4}+128 x^{3} y^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.174 |
|
| 21792 |
\begin{align*}
y^{\prime }-\left (\frac {a_{3} x^{3}+a_{2} x^{2}+a_{1} x +a_{0}}{a_{0} +a_{1} y+a_{2} y^{2}+a_{3} y^{3}}\right )^{{2}/{3}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.176 |
|
| 21793 |
\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*} |
✓ |
✓ |
✓ |
✗ |
6.179 |
|
| 21794 |
\begin{align*}
y^{\prime \prime }-k y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.180 |
|
| 21795 |
\begin{align*}
x y y^{\prime }&=3 x^{6}+6 y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.185 |
|
| 21796 |
\begin{align*}
y^{\prime }+\left (\left \{\begin {array}{cc} 2 & 0\le x \le 1 \\ -\frac {2}{x} & 1<x \end {array}\right .\right ) y&=4 x \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.186 |
|
| 21797 |
\begin{align*}
x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y&=\ln \left (x \right ) \left (\frac {1}{x^{3}}+\frac {1}{x^{5}}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.187 |
|
| 21798 |
\begin{align*}
x^{\prime }+x t&=4 t \\
x \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.193 |
|
| 21799 |
\begin{align*}
y^{\prime \prime }&=1+{y^{\prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.194 |
|
| 21800 |
\begin{align*}
x^{\prime }&=\sqrt {x^{2}-1} \\
x \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.194 |
|