| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 24201 |
\begin{align*}
y^{\prime } x +y&=y^{\prime } \sqrt {1-y^{2} x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.466 |
|
| 24202 |
\begin{align*}
{\mathrm e}^{x} y+2 \,{\mathrm e}^{x}+y^{2}+\left ({\mathrm e}^{x}+2 y x \right ) y^{\prime }&=0 \\
y \left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.496 |
|
| 24203 |
\begin{align*}
\left (1-{\mathrm e}^{-\frac {y}{x}}\right ) y^{\prime }+1-\frac {y}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.540 |
|
| 24204 |
\begin{align*}
x^{\prime }&=k x-x^{2} \\
x \left (0\right ) &= x_{0} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.550 |
|
| 24205 |
\begin{align*}
y^{\prime }&=\frac {-4 a x y-a^{2} x^{3}-2 a b \,x^{2}-4 a x +8}{8 y+2 a \,x^{2}+4 b x +8} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.575 |
|
| 24206 |
\begin{align*}
y^{\prime }-3 y&=-10 \,{\mathrm e}^{-t +a} \sin \left (-2 t +2 a \right ) \operatorname {Heaviside}\left (t -a \right ) \\
y \left (0\right ) &= 5 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
26.599 |
|
| 24207 |
\begin{align*}
y^{\prime }-3 y&=5 \,{\mathrm e}^{2 i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.635 |
|
| 24208 |
\begin{align*}
y^{\prime \prime } x -\left (3 x -2\right ) y^{\prime }-\left (2 x -3\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.640 |
|
| 24209 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (a \,x^{n +2}+b \,x^{2}+c \right ) y^{\prime }+\left (a n \,x^{n +1}+a c \,x^{n}+b c \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.660 |
|
| 24210 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}+g \left (x \right ) y+h \left (x \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.669 |
|
| 24211 |
\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*} |
✗ |
✓ |
✓ |
✗ |
26.684 |
|
| 24212 |
\begin{align*}
y^{\prime \prime }&=-\frac {\left (a p \,x^{b}+q \right ) y^{\prime }}{x \left (a \,x^{b}-1\right )}-\frac {\left (a r \,x^{b}+s \right ) y}{x^{2} \left (a \,x^{b}-1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.686 |
|
| 24213 |
\begin{align*}
y^{\prime }&=\frac {-3+x +y}{x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.712 |
|
| 24214 |
\begin{align*}
2 y-1+\left (3 x -y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.715 |
|
| 24215 |
\begin{align*}
\left (x +y-1\right ) y^{\prime }-y+2 x +3&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.716 |
|
| 24216 |
\begin{align*}
\frac {2}{t}+\frac {1}{y}+\frac {t y^{\prime }}{y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.720 |
|
| 24217 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )+3 y-\left (3 x -{\mathrm e}^{x} \sin \left (y\right )\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
26.735 |
|
| 24218 |
\begin{align*}
y^{\prime }&=\frac {-6 x +y-3}{2 x -y-1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.776 |
|
| 24219 |
\begin{align*}
{\mathrm e}^{y}-2 t y+\left (t \,{\mathrm e}^{y}-t^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✗ |
✗ |
✗ |
26.789 |
|
| 24220 |
\begin{align*}
y {y^{\prime }}^{2}-4 a^{2} x y^{\prime }+a^{2} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.841 |
|
| 24221 |
\begin{align*}
x {y^{\prime }}^{2}+a y y^{\prime }+b x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.855 |
|
| 24222 |
\begin{align*}
\left (y x -x^{2}\right ) y^{\prime }&=y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.871 |
|
| 24223 |
\begin{align*}
48 x \left (x -1\right ) y^{\prime \prime }+\left (152 x -40\right ) y^{\prime }+53 y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.875 |
|
| 24224 |
\begin{align*}
\left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-\sin \left (x \right ) y+\sin \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.886 |
|
| 24225 |
\begin{align*}
y^{\prime } x +y&=\left (y x \right )^{{3}/{2}} \\
y \left (1\right ) &= 4 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.906 |
|
| 24226 |
\begin{align*}
y^{\prime }&=\tan \left (y\right )+\frac {2 \cos \left (t \right )}{\cos \left (y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.916 |
|
| 24227 |
\begin{align*}
y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.918 |
|
| 24228 |
\begin{align*}
x^{2}+y^{2}&=2 y y^{\prime } x \\
y \left (-1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.941 |
|
| 24229 |
\begin{align*}
y^{\prime \prime }+y \sec \left (x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
26.952 |
|
| 24230 |
\begin{align*}
x -y-\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.961 |
|
| 24231 |
\begin{align*}
y^{\prime }&=\frac {x +y}{-x +y} \\
y \left (-2\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.962 |
|
| 24232 |
\begin{align*}
y^{\prime }&=\frac {y x +y+x^{4} \sqrt {x^{2}+y^{2}}}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.965 |
|
| 24233 |
\begin{align*}
5 x^{2} y+6 x^{3} y^{2}+4 x y^{2}+\left (2 x^{3}+3 x^{4} y+3 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
26.966 |
|
| 24234 |
\begin{align*}
x^{2}+2 y x -2 y^{2}+\left (y^{2}+2 y x -2 x^{2}\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.973 |
|
| 24235 |
\begin{align*}
y^{\prime }&=\left (1+4 x +9 y\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.976 |
|
| 24236 |
\begin{align*}
2 x -y+1+\left (-1+2 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
26.983 |
|
| 24237 |
\begin{align*}
\left (5 x +y-7\right ) y^{\prime }&=3 x +3 y+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
26.990 |
|
| 24238 |
\begin{align*}
3 x^{2}+2 x y^{2}+\left (2 x^{2} y+6 y^{2}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.003 |
|
| 24239 |
\begin{align*}
\left (x -3\right ) y^{\prime \prime }+y \ln \left (x \right )&=x^{2} \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 2 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.014 |
|
| 24240 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\tan \left (\frac {y}{x}\right ) \\
y \left (6\right ) &= \pi \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.023 |
|
| 24241 |
\begin{align*}
y^{\prime }&={\mathrm e}^{t -y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.043 |
|
| 24242 |
\begin{align*}
y^{\prime \prime }&=\frac {1}{\sqrt {a y}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.053 |
|
| 24243 |
\begin{align*}
y^{\prime } x&=\sqrt {16 x^{2}-y^{2}}+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.070 |
|
| 24244 |
\begin{align*}
y^{\prime }&=6 \sqrt {y}+5 x^{3} \\
y \left (-1\right ) &= 4 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.074 |
|
| 24245 |
\begin{align*}
y^{\prime }+\frac {2 y}{x}&=\frac {3 y^{2} x^{2}+6 y x +2}{x^{2} \left (2 y x +3\right )} \\
y \left (2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.081 |
|
| 24246 |
\begin{align*}
y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.085 |
|
| 24247 |
\begin{align*}
\sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime }&=0 \\
y \left (\frac {\pi }{2}\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.095 |
|
| 24248 |
\begin{align*}
y^{\prime \prime } x -2 y^{\prime }+y&=\cos \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
27.134 |
|
| 24249 |
\begin{align*}
y^{\prime }&=a \,x^{n} y^{2}-a b \,x^{n} {\mathrm e}^{\lambda x} y+b \lambda \,{\mathrm e}^{\lambda x} \\
\end{align*} |
✗ |
✗ |
✓ |
✗ |
27.156 |
|
| 24250 |
\begin{align*}
y^{\prime }&=x +y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.168 |
|
| 24251 |
\begin{align*}
6 x y^{2}+2 y+\left (12 x^{2} y+6 x +3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.187 |
|
| 24252 |
\begin{align*}
y^{\prime }&=-\frac {x +2 y}{y} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.212 |
|
| 24253 |
\begin{align*}
y^{\prime }&=t +y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.220 |
|
| 24254 |
\begin{align*}
y^{\prime }&=\sin \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.250 |
|
| 24255 |
\begin{align*}
y y^{\prime \prime }&=b y^{2}+y^{3}+a y y^{\prime }+{y^{\prime }}^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.273 |
|
| 24256 |
\begin{align*}
\left (1+5 x -y\right ) y^{\prime }+5+x -5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.296 |
|
| 24257 |
\begin{align*}
\sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.300 |
|
| 24258 |
\begin{align*}
y^{\prime }&=-\frac {-y x -y+x^{5} \sqrt {x^{2}+y^{2}}-x^{4} \sqrt {x^{2}+y^{2}}\, y}{x \left (x +1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
27.311 |
|
| 24259 |
\begin{align*}
y^{\prime }+\frac {y}{x}&=\frac {\sin \left (x \right )}{y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.312 |
|
| 24260 |
\begin{align*}
y^{\prime }&=\frac {\left (a -x \right ) y}{d \,x^{2}+c x +b} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.312 |
|
| 24261 |
\begin{align*}
y^{\prime }&=\left (9 x +4 y+1\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.353 |
|
| 24262 |
\begin{align*}
x +y-1-\left (x -y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.362 |
|
| 24263 |
\begin{align*}
x^{2} y^{\prime \prime }-2 x \left (x^{2}-a \right ) y^{\prime }+\left (2 n \,x^{2}+\left (\left (-1\right )^{n}-1\right ) a \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
27.372 |
|
| 24264 |
\begin{align*}
y^{\prime } t -y-\sqrt {t^{2}+y^{2}}&=0 \\
y \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.401 |
|
| 24265 |
\begin{align*}
\left (2 \sqrt {y x}-x \right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.426 |
|
| 24266 |
\begin{align*}
y^{\prime }&=3-\sin \left (y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.428 |
|
| 24267 |
\begin{align*}
y^{\prime }&=\frac {\left (3 x -2 y\right )^{2}+1}{3 x -2 y}+\frac {3}{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.448 |
|
| 24268 |
\begin{align*}
\left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime }&=\left (a +3 y^{\prime }\right ) {y^{\prime \prime }}^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.499 |
|
| 24269 |
\begin{align*}
x +2 y-4-\left (2 x -4 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.543 |
|
| 24270 |
\begin{align*}
2 x +3 y+1+\left (4 x +6 y+1\right ) y^{\prime }&=0 \\
y \left (-2\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.547 |
|
| 24271 |
\begin{align*}
y^{\prime }&=-x \sqrt {1-y^{2}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.564 |
|
| 24272 |
\begin{align*}
y^{\prime }&=\frac {\ln \left (t y\right )}{1-t^{2}+y^{2}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
27.565 |
|
| 24273 |
\begin{align*}
x^{2} y^{\prime }-y^{2}&=2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.580 |
|
| 24274 |
\begin{align*}
y^{2}-3 y x -2 x^{2}&=\left (x^{2}-y x \right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.593 |
|
| 24275 |
\begin{align*}
{y^{\prime }}^{3}+m {y^{\prime }}^{2}&=a \left (y+x m \right ) \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
27.595 |
|
| 24276 |
\begin{align*}
2 y^{\prime }&=\left (a -\lambda +a \cosh \left (\lambda x \right )\right ) y^{2}+a +\lambda -a \cosh \left (\lambda x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.599 |
|
| 24277 |
\begin{align*}
\sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.605 |
|
| 24278 |
\begin{align*}
y^{\prime }-\frac {\sqrt {{| y \left (-1+y\right ) \left (a y-1\right )|}}}{\sqrt {{| x \left (x -1\right ) \left (a x -1\right )|}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.633 |
|
| 24279 |
\begin{align*}
y {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.634 |
|
| 24280 |
\begin{align*}
2 \sqrt {y x}-y-y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.635 |
|
| 24281 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 y^{\prime } x +y&=85 \cos \left (2 \ln \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.666 |
|
| 24282 |
\begin{align*}
\sin \left (x \right ) \tan \left (y\right )+1+\cos \left (x \right ) \sec \left (y\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✗ |
✓ |
✗ |
27.674 |
|
| 24283 |
\begin{align*}
y^{\prime }&=\sqrt {y^{2}-1} \\
y \left (0\right ) &= {\frac {1}{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.679 |
|
| 24284 |
\begin{align*}
y^{\prime }&=\frac {y \ln \left (x \right )+\cosh \left (x \right ) x a y^{2}+\cosh \left (x \right ) x^{3} b}{x \ln \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.685 |
|
| 24285 |
\begin{align*}
y^{\prime }&=\frac {-\sinh \left (x \right )+\ln \left (x \right ) x^{2}+2 x y \ln \left (x \right )+\ln \left (x \right )+y^{2} \ln \left (x \right )}{\sinh \left (x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.688 |
|
| 24286 |
\begin{align*}
3 y-5 t +2 y y^{\prime }-y^{\prime } t&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.770 |
|
| 24287 |
\begin{align*}
y^{\prime }&=\sqrt {x^{2}-y}-x \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.772 |
|
| 24288 |
\begin{align*}
\left (\sin \left (y\right )+y \cos \left (y\right )\right ) y^{\prime }-\left (2 \ln \left (x \right )+1\right ) x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.773 |
|
| 24289 |
\begin{align*}
\left (x +y+1\right ) y^{\prime }&=x +y+2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.774 |
|
| 24290 |
\begin{align*}
x^{2} y^{\prime \prime }+\left (a \,x^{2}+b x \right ) y^{\prime }+\left (k \left (a -k \right ) x^{2}+\left (a n +b k -2 k n \right ) x +n \left (b -n -1\right )\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
27.791 |
|
| 24291 |
\begin{align*}
y^{\prime \prime }&=-\frac {2 x y^{\prime }}{x^{2}-1}-\frac {v \left (v +1\right ) y}{x^{2} \left (x^{2}-1\right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
27.822 |
|
| 24292 |
\begin{align*}
2 x -y-2+\left (-x +2 y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.824 |
|
| 24293 |
\begin{align*}
y^{\prime } x +2 y&=a \,x^{2 k} y^{k} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.833 |
|
| 24294 |
\begin{align*}
y^{\prime }&=\frac {1}{y+2+\sqrt {1+3 x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.837 |
|
| 24295 |
\begin{align*}
5 t +2 y+1+\left (2 t +y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.867 |
|
| 24296 |
\begin{align*}
y^{\prime }&=2 y-{\mathrm e}^{i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.903 |
|
| 24297 |
\begin{align*}
3 y+3 y^{2}+\left (2 x +4 y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.908 |
|
| 24298 |
\begin{align*}
-2 \sin \left (x \right ) y^{2}+3 y^{3}-2 x +\left (4 \cos \left (x \right ) y+9 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.912 |
|
| 24299 |
\begin{align*}
x^{\prime }+\frac {\left (2 t^{3}+\sin \left (t \right )+5\right ) x}{t^{12}+5}&=0 \\
x \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
27.958 |
|
| 24300 |
\begin{align*}
\left (8+5 x -12 y\right ) y^{\prime }&=3+2 x -5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
27.978 |
|