| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 22201 |
\begin{align*}
y^{\prime }&=-\frac {x \left (-513-432 x -576 x^{5}+720 x^{3} y-1134 x^{2}-456 x^{6}-756 x^{3}-864 x^{4}-378 y-216 y^{3}-288 y x^{8}-540 y^{2}-1296 x^{2} y^{2}+1008 x^{5} y-144 x^{7}-594 x^{2} y-216 x^{6} y^{2}-972 y^{2} x^{4}+288 x^{7} y+432 y^{2} x^{7}-216 x^{4} y-648 x^{2} y^{3}+432 x^{3} y^{2}-288 x^{6} y+864 x^{5} y^{2}-648 x^{4} y^{3}-96 x^{8}-216 x^{6} y^{3}+64 x^{9}\right )}{216 \left (x^{2}+1\right )^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.805 |
|
| 22202 |
\begin{align*}
-\left (x +1\right )^{3} y+x y^{\prime }+x^{2} \left (x +1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.808 |
|
| 22203 |
\begin{align*}
x^{2} \left (x y^{\prime }-y\right )&=y \left (x +y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.810 |
|
| 22204 |
\begin{align*}
\ln \left (y^{\prime }\right )+x y^{\prime }+a y+b&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.812 |
|
| 22205 |
\begin{align*}
y^{\prime }-\frac {y}{t}&=\frac {y^{2}}{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.812 |
|
| 22206 |
\begin{align*}
y^{\prime }&=\frac {\left (2 x +2+y\right ) y}{\left (-1+2 x +\ln \left (y\right )\right ) \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.813 |
|
| 22207 |
\begin{align*}
2 x^{\prime } t&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.815 |
|
| 22208 |
\begin{align*}
6+12 x^{2} y^{2}+\left (7 x^{3} y+\frac {x}{y}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.815 |
|
| 22209 |
\begin{align*}
3 x y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.817 |
|
| 22210 |
\begin{align*}
x y y^{\prime }-y^{2}&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.818 |
|
| 22211 |
\begin{align*}
x y^{\prime }&=y+\left (x^{2}-y^{2}\right ) f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.819 |
|
| 22212 |
\begin{align*}
x +y y^{\prime }+x^{2} y^{\prime }-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.819 |
|
| 22213 |
\begin{align*}
y^{\prime }&=\frac {\left (x +1+x^{4} \ln \left (y\right )\right ) y \ln \left (y\right )}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
6.821 |
|
| 22214 |
\begin{align*}
\frac {\cos \left (y\right )^{2} y^{\prime }}{x}+\frac {\cos \left (x \right )^{2}}{y}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.821 |
|
| 22215 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime }+y^{2}&=-1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
6.827 |
|
| 22216 |
\begin{align*}
y^{\prime }&=-y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.827 |
|
| 22217 |
\begin{align*}
x y^{\prime \prime }+\left (x +a +b \right ) y^{\prime }+a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.828 |
|
| 22218 |
\begin{align*}
y^{\prime \prime }+\left (a \,x^{n}+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*} |
✓ |
✓ |
✗ |
✗ |
6.832 |
|
| 22219 |
\begin{align*}
y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cot \left (x \right )&=0 \\
y \left (\frac {\pi }{4}\right ) &= 1 \\
y^{\prime }\left (\frac {\pi }{4}\right ) &= 0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
6.833 |
|
| 22220 |
\begin{align*}
x y^{\prime }&=f \left (x \right ) y^{2}+n y+a \,x^{2 n} f \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.838 |
|
| 22221 |
\begin{align*}
\left (2 x -1\right ) y+x \left (x +1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.840 |
|
| 22222 |
\begin{align*}
2 x +2 x y^{2}+\left (x^{2} y+2 y+3 y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.842 |
|
| 22223 |
\begin{align*}
y^{\prime }+3 y x&=y \,{\mathrm e}^{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.844 |
|
| 22224 |
\begin{align*}
y^{\prime }&=\frac {x^{2} y-y}{y+1} \\
y \left (3\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.846 |
|
| 22225 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (a \,x^{2}+b x +c \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.848 |
|
| 22226 |
\begin{align*}
x^{\prime }&=y \\
y^{\prime }&=z \\
z^{\prime }&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.848 |
|
| 22227 |
\begin{align*}
\left (x^{2} y^{3}+y x \right ) y^{\prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.850 |
|
| 22228 |
\begin{align*}
y^{\prime }&=-b \sqrt {y}+a y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.856 |
|
| 22229 |
\begin{align*}
x y^{\prime }&=x^{2 n} a y^{2}+\left (b \,x^{n}-n \right ) y+c \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.856 |
|
| 22230 |
\(\left [\begin {array}{ccccc} 1 & 3 & 5 & 2 & 4 \\ 5 & 2 & 4 & 1 & 3 \\ 4 & 1 & 3 & 5 & 2 \\ 3 & 5 & 2 & 4 & 1 \\ 2 & 4 & 1 & 3 & 5 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
6.856 |
|
| 22231 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (2 f \left (x \right ) {g^{\prime }\left (x \right )}^{2} g \left (x \right )-\left (g \left (x \right )^{2}-1\right ) \left (f \left (x \right ) g^{\prime \prime }\left (x \right )+2 f^{\prime }\left (x \right ) g^{\prime }\left (x \right )\right )\right ) y^{\prime }}{f \left (x \right ) g^{\prime }\left (x \right ) \left (g \left (x \right )^{2}-1\right )}-\frac {\left (\left (g \left (x \right )^{2}-1\right ) \left (f^{\prime }\left (x \right ) \left (f \left (x \right ) g^{\prime \prime }\left (x \right )+2 f^{\prime }\left (x \right ) g^{\prime }\left (x \right )\right )-f \left (x \right ) f^{\prime \prime }\left (x \right ) g^{\prime }\left (x \right )\right )-\left (2 f^{\prime }\left (x \right ) g \left (x \right )+v \left (v +1\right ) f \left (x \right ) g^{\prime }\left (x \right )\right ) f \left (x \right ) {g^{\prime }\left (x \right )}^{2}\right ) y}{f \left (x \right )^{2} g^{\prime }\left (x \right ) \left (g \left (x \right )^{2}-1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.873 |
|
| 22232 |
\begin{align*}
x y^{\prime }+y&=y^{2} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.876 |
|
| 22233 |
\begin{align*}
x y^{\prime }+y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.877 |
|
| 22234 |
\begin{align*}
y^{\prime }&=\frac {\left (y+1\right )^{2}}{x \left (y+1\right )-x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.877 |
|
| 22235 |
\begin{align*}
{y^{\prime }}^{2} x -3 y y^{\prime }+9 x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.879 |
|
| 22236 |
\begin{align*}
y&=\tan \left (x \right ) y^{\prime }-{y^{\prime }}^{2} \sec \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.879 |
|
| 22237 |
\begin{align*}
x \left (1-x \right ) y^{\prime \prime }+2 \left (1-x \right ) y^{\prime }+2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.881 |
|
| 22238 |
\begin{align*}
1+4 y x +2 y^{2}+\left (1+4 y x +2 x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.883 |
|
| 22239 |
\begin{align*}
x y^{\prime \prime }+\left (x +b \right ) y^{\prime }+a y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.884 |
|
| 22240 |
\begin{align*}
12 y x +6 y^{3}+\left (9 x^{2}+10 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.888 |
|
| 22241 |
\begin{align*}
y^{\prime }&=\frac {x^{3}+x^{2}+2 \sqrt {x^{3}-6 y}}{2 x +2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.888 |
|
| 22242 |
\begin{align*}
\cos \left (t \right ) r^{\prime }+r \sin \left (t \right )-\cos \left (t \right )^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.888 |
|
| 22243 |
\begin{align*}
y^{\prime \prime \prime \prime }-16 y&=32 \operatorname {Heaviside}\left (t \right )-32 \operatorname {Heaviside}\left (t -\pi \right ) \\
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. |
✓ |
✓ |
✓ |
✓ |
6.888 |
|
| 22244 |
\begin{align*}
{y^{\prime }}^{4}+f \left (x \right ) \left (y-a \right )^{3} \left (y-b \right )^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.891 |
|
| 22245 |
\begin{align*}
y^{\prime \prime }+\lambda y&=0 \\
y \left (0\right ) &= 0 \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.897 |
|
| 22246 |
\begin{align*}
x \ln \left (y\right )+y x +\left (y \ln \left (x \right )+y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.898 |
|
| 22247 |
\begin{align*}
y^{\prime }+y \tan \left (x \right )&=0 \\
y \left (\pi \right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.898 |
|
| 22248 |
\begin{align*}
y^{\prime }+\csc \left (2 x \right ) \sin \left (2 y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.901 |
|
| 22249 |
\begin{align*}
y^{\prime }&=\frac {x}{x^{2} y+y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.901 |
|
| 22250 |
\begin{align*}
2 y^{5} x -y+2 x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.902 |
|
| 22251 |
\begin{align*}
2 y^{\prime \prime }&=\sin \left (2 y\right ) \\
y \left (0\right ) &= -\frac {\pi }{2} \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
6.903 |
|
| 22252 |
\begin{align*}
1-x^{2} y+x^{2} \left (-x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.907 |
|
| 22253 |
\begin{align*}
{y^{\prime }}^{3}+\left (\cos \left (x \right ) \cot \left (x \right )-y\right ) {y^{\prime }}^{2}-\left (1+y \cos \left (x \right ) \cot \left (x \right )\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.911 |
|
| 22254 |
\begin{align*}
x y \left (x^{2}+1\right ) y^{\prime }&=1+y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.915 |
|
| 22255 |
\begin{align*}
y^{\prime }+\frac {4 y}{x}&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.917 |
|
| 22256 |
\begin{align*}
\left (2 x -y+3\right ) y^{\prime }+2&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.920 |
|
| 22257 |
\begin{align*}
y^{\prime }&=\frac {y \left (y^{2} x^{7}+x^{4} y+x -3\right )}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.920 |
|
| 22258 |
\begin{align*}
{y^{\prime }}^{2}+f \left (x \right ) \left (y-a \right ) \left (y-b \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.922 |
|
| 22259 |
\begin{align*}
y^{\prime }&=f \left (x \right )+g \left (x \right ) y+a y^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
6.923 |
|
| 22260 |
\begin{align*}
r^{\prime }+r \tan \left (t \right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.925 |
|
| 22261 |
\begin{align*}
x^{2}+1+\frac {y^{\prime }}{y}&=0 \\
y \left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.925 |
|
| 22262 |
\begin{align*}
y^{\prime }&=-\frac {x +2 y}{y} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.926 |
|
| 22263 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\left \{\begin {array}{cc} 1 & 0\le t <10 \\ 0 & 10\le t \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*}
Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
6.927 |
|
| 22264 |
\begin{align*}
x^{3} y^{\prime \prime }+x^{2} y^{\prime }+y x&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.928 |
|
| 22265 |
\begin{align*}
\left (a +b \sin \left (x \right )^{2}\right ) y+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
6.930 |
|
| 22266 |
\begin{align*}
y^{\prime }&=y^{2}+\frac {f \left (\frac {1}{x}\right )}{x^{4}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
6.931 |
|
| 22267 |
\begin{align*}
\tan \left (x \right ) \sin \left (y\right )+3 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.931 |
|
| 22268 |
\begin{align*}
a \,x^{3} y-y^{\prime }+x \left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.932 |
|
| 22269 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a \,x^{n} f \left (x \right ) y+a n \,x^{n -1} \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
6.932 |
|
| 22270 |
\begin{align*}
2 x y^{2}+y+\left (2 y^{3}-x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.932 |
|
| 22271 |
\begin{align*}
y^{\prime }&=\frac {2 x^{2}+2 x +x^{4}-2 x^{2} y-1+y^{2}}{x +1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.934 |
|
| 22272 |
\begin{align*}
y^{2} y^{\prime }+x^{2} \sin \left (x \right )^{3}&=y^{3} \cot \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.934 |
|
| 22273 |
\begin{align*}
\ln \left (y^{\prime }\right )+x y^{\prime }+a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.937 |
|
| 22274 |
\begin{align*}
y-\cos \left (x \right ) y^{\prime }&=y^{2} \cos \left (x \right ) \left (1-\sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.943 |
|
| 22275 |
\begin{align*}
{y^{\prime }}^{2}&={\mathrm e}^{4 x -2 y} \left (y^{\prime }-1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.946 |
|
| 22276 |
\begin{align*}
x y^{\prime }+y&=x^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.946 |
|
| 22277 |
\begin{align*}
y^{\prime }&=\frac {y \left (y^{2}+y x +x^{2}+x \right )}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.948 |
|
| 22278 |
\begin{align*}
y&=x y^{\prime }+y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.948 |
|
| 22279 |
\begin{align*}
x y \left (-x y^{\prime }+y\right )&=y y^{\prime }+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.948 |
|
| 22280 |
\begin{align*}
\left (a \,x^{2}+b \right )^{2} y^{\prime \prime }+\left (a \,x^{2}+b \right ) \left (c \,x^{2}+d \right ) y^{\prime }+2 \left (-a d +b c \right ) x y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.949 |
|
| 22281 |
\begin{align*}
y^{\prime } y^{\prime \prime }+y^{n}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.950 |
|
| 22282 |
\begin{align*}
3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (1-{\mathrm e}^{x}\right ) \sec \left (y\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.950 |
|
| 22283 |
\begin{align*}
x -2 y^{3} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.950 |
|
| 22284 |
\begin{align*}
y^{\prime }&=\left (1+y^{2}\right ) \tan \left (x \right ) \\
y \left (0\right ) &= \sqrt {3} \\
\end{align*} |
✓ |
✓ |
✗ |
✓ |
6.953 |
|
| 22285 |
\begin{align*}
x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-2 y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.954 |
|
| 22286 |
\begin{align*}
2 x y^{\prime \prime }+6 y^{\prime }+y&=0 \\
\end{align*}
Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
6.956 |
|
| 22287 |
\begin{align*}
y^{\prime }+\cos \left (x \right ) y&=y^{n} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.959 |
|
| 22288 |
\begin{align*}
2 x y^{2} {y^{\prime }}^{2}-y^{3} y^{\prime }-a&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.960 |
|
| 22289 |
\begin{align*}
y^{\prime }&=-\frac {x^{2}+x +a x +a -2 \sqrt {x^{2}+2 a x +a^{2}+4 y}}{2 \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.960 |
|
| 22290 |
\begin{align*}
\cot \left (x \right ) y^{\prime }&=y \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.964 |
|
| 22291 |
\begin{align*}
a y y^{\prime \prime }+b {y^{\prime }}^{2}+\operatorname {c4} y^{4}+\operatorname {c3} y^{3}+\operatorname {c2} y^{2}+\operatorname {c1} y+\operatorname {c0}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.964 |
|
| 22292 |
\begin{align*}
y^{\prime }-\frac {2 y}{x +1}&=\left (x +1\right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.966 |
|
| 22293 |
\begin{align*}
y^{\prime }&=\frac {2 y}{x}-x^{2} y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.967 |
|
| 22294 |
\begin{align*}
t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.971 |
|
| 22295 |
\begin{align*}
x y^{\prime }&=a \,x^{n} y^{2}+b y+c \,x^{-n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.975 |
|
| 22296 |
\begin{align*}
y^{\prime }+4 y&={\mathrm e}^{k x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.975 |
|
| 22297 |
\begin{align*}
{y^{\prime }}^{2}+2 x y^{3} y^{\prime }+y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.976 |
|
| 22298 |
\begin{align*}
y^{\prime } \left (1+\sin \left (x \right )\right ) \sin \left (y\right )+\cos \left (x \right ) \left (\cos \left (y\right )-1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.976 |
|
| 22299 |
\begin{align*}
y^{\prime }&=\frac {x^{2}+y^{2}}{2 y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
6.977 |
|
| 22300 |
\begin{align*}
y^{2}+7 y x +16 x^{2}+x^{2} y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
6.977 |
|