| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 26101 |
\begin{align*}
\left (x^{2}-y^{2}\right ) y^{\prime }&=2 y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.967 |
|
| 26102 |
\begin{align*}
x +y+\left (2 x +2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
32.970 |
|
| 26103 |
\begin{align*}
x y^{\prime }+a \,x^{2} y^{2}+2 y&=b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.003 |
|
| 26104 |
\begin{align*}
3 x -2 y+4-\left (2 x +7 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.015 |
|
| 26105 |
\begin{align*}
x \left (x +y\right ) y^{\prime }-y \left (x +y\right )+x \sqrt {x^{2}-y^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.029 |
|
| 26106 |
\begin{align*}
a \sin \left (y\right )+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.035 |
|
| 26107 |
\begin{align*}
x y^{\prime }+2 y&=3 x^{3} y^{{4}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.083 |
|
| 26108 |
\begin{align*}
t y^{3}-\left (t^{4}+y^{4}\right ) y^{\prime }&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.141 |
|
| 26109 |
\begin{align*}
\sqrt {1+{y^{\prime }}^{2}}+a y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.154 |
|
| 26110 |
\begin{align*}
x \left (y x +x^{4}-1\right ) y^{\prime }-y \left (y x -x^{4}-1\right )&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.186 |
|
| 26111 |
\begin{align*}
x -6 y+2+2 \left (x +2 y+2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.193 |
|
| 26112 |
\begin{align*}
2 x^{2} y^{2}+y-\left (x^{3} y-3 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.201 |
|
| 26113 |
\begin{align*}
x y^{\prime }&=a \,x^{n}+b y+c y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.205 |
|
| 26114 |
\begin{align*}
y^{\prime }&=\frac {y \left (x +y\right )}{x \left (x -y\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.207 |
|
| 26115 |
\begin{align*}
y^{\prime }+\frac {y}{\left (-x^{2}+1\right )^{{3}/{2}}}&=\frac {x +\sqrt {-x^{2}+1}}{\left (-x^{2}+1\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.221 |
|
| 26116 |
\begin{align*}
x^{2} y^{\prime \prime }+6 x y^{\prime }+6 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.243 |
|
| 26117 |
\begin{align*}
-\left (c^{2} x^{4}+b^{2} x^{2}+a^{2}\right ) y+x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.327 |
|
| 26118 |
\begin{align*}
x -y \cos \left (\frac {y}{x}\right )+x \cos \left (\frac {y}{x}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.329 |
|
| 26119 |
\begin{align*}
x y^{\prime }+y&=y^{2} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.351 |
|
| 26120 |
\begin{align*}
x^{\prime }&=\frac {5 t x}{t^{2}+x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.369 |
|
| 26121 |
\begin{align*}
2 x^{3} y^{\prime }&=y \left (3 x^{2}+y^{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.371 |
|
| 26122 |
\begin{align*}
y \left (8 x -9 y\right )+2 x \left (x -3 y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.421 |
|
| 26123 |
\begin{align*}
x^{2}+y^{2}+2 x y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.440 |
|
| 26124 |
\begin{align*}
{\mathrm e}^{y^{2}}-\csc \left (y\right ) \csc \left (x \right )^{2}+\left (2 x y \,{\mathrm e}^{y^{2}}-\csc \left (y\right ) \cot \left (y\right ) \cot \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.441 |
|
| 26125 |
\begin{align*}
{y^{\prime }}^{2}&=f \left (x \right )^{2} \left (y-u \left (x \right )\right )^{2} \left (y-a \right ) \left (y-b \right ) \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
33.445 |
|
| 26126 |
\begin{align*}
x^{\prime }&=2 t \sqrt {x} \\
x \left (a \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.448 |
|
| 26127 |
\begin{align*}
{y^{\prime }}^{3}+{\mathrm e}^{-2 y} \left ({\mathrm e}^{2 x}+{\mathrm e}^{3 x}\right ) y^{\prime }-{\mathrm e}^{3 x -2 y}&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
33.454 |
|
| 26128 |
\begin{align*}
y^{\prime \prime }&=\alpha ^{2} s^{2} y+\alpha ^{2} g L \\
y \left (0\right ) &= 0 \\
y \left (x_{0} \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.458 |
|
| 26129 |
\begin{align*}
y^{\prime }&=a y^{2}+b \,x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
33.462 |
|
| 26130 |
\begin{align*}
y^{\prime }&=\frac {x}{2 y}+\frac {y}{2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.470 |
|
| 26131 |
\begin{align*}
y^{\prime \prime }-k^{2} y&=0 \\
y \left (0\right ) &= v_{1} \\
y \left (x_{0} \right ) &= v_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.503 |
|
| 26132 |
\begin{align*}
\frac {x^{2}+3 y^{2}}{x \left (3 x^{2}+4 y^{2}\right )}+\frac {\left (2 x^{2}+y^{2}\right ) y^{\prime }}{y \left (3 x^{2}+4 y^{2}\right )}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.514 |
|
| 26133 |
\begin{align*}
\left (c \,x^{2}+2 b x +a \right )^{{3}/{2}} y^{\prime \prime }&=f \left (\frac {x}{\sqrt {c \,x^{2}+2 b x +a}}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.559 |
|
| 26134 |
\begin{align*}
x \left (x^{2}-y x -y^{2}\right ) y^{\prime }&=\left (x^{2}+y x -y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.581 |
|
| 26135 |
\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}+x^{n} a c +b c \right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
33.698 |
|
| 26136 |
\begin{align*}
y^{\prime }-\frac {\tan \left (y\right )}{x +1}&=\left (x +1\right ) {\mathrm e}^{x} \sec \left (y\right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✓ |
33.743 |
|
| 26137 |
\begin{align*}
x y^{\prime }+y&=y^{2} \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.763 |
|
| 26138 |
\begin{align*}
2 x \left (2 x^{2}+y\right ) y^{\prime }+\left (12 x^{2}+y\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.785 |
|
| 26139 |
\begin{align*}
y&=x +a \arctan \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.810 |
|
| 26140 |
\begin{align*}
x^{2} y^{\prime \prime }-11 x y^{\prime }+35 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.829 |
|
| 26141 |
\begin{align*}
1+t -2 y+\left (4 t -3 y-6\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.849 |
|
| 26142 |
\begin{align*}
\left (x^{4}+\operatorname {a1} \,x^{2}+\operatorname {a0} \right ) y+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.862 |
|
| 26143 |
\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*} |
✓ |
✓ |
✓ |
✗ |
33.864 |
|
| 26144 |
\begin{align*}
\left (\operatorname {b2} x +\operatorname {a2} \right ) y+\left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime }+\left (x +a \right ) y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.888 |
|
| 26145 |
\begin{align*}
x \sin \left (\frac {y}{x}\right ) y^{\prime }&=\sin \left (\frac {y}{x}\right ) y+x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.927 |
|
| 26146 |
\begin{align*}
\frac {y}{t}+y^{\prime }&=y^{{2}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.937 |
|
| 26147 |
\begin{align*}
\left (2-9 x \right ) x^{2} {y^{\prime \prime }}^{2}-6 \left (1-6 x \right ) x y^{\prime } y^{\prime \prime }+6 y y^{\prime \prime }-36 {y^{\prime }}^{2} x&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
33.940 |
|
| 26148 |
\begin{align*}
y+x y^{2}-x y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.944 |
|
| 26149 |
\begin{align*}
\ln \left (y^{\prime }\right )+x y^{\prime }+a +b y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.982 |
|
| 26150 |
\begin{align*}
\left (x +4 y\right ) y^{\prime }&=2 x +3 y-5 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
33.993 |
|
| 26151 |
\begin{align*}
x y \left (x +\sqrt {x^{2}-y^{2}}\right ) y^{\prime }&=x y^{2}-\left (x^{2}-y^{2}\right )^{{3}/{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.039 |
|
| 26152 |
\begin{align*}
y \ln \left (y^{\prime }\right )+y^{\prime }-\ln \left (y\right ) y-y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.051 |
|
| 26153 |
\begin{align*}
2 x \left (5 x^{2}+y^{2}\right ) y^{\prime }&=x^{2} y-y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.059 |
|
| 26154 |
\begin{align*}
y^{\prime }&=y^{2}+a \,{\mathrm e}^{2 \lambda x} \left ({\mathrm e}^{\lambda x}+b \right )^{n}-\frac {\lambda ^{2}}{4} \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
34.092 |
|
| 26155 |
\begin{align*}
3 y^{2}-x +2 y \left (y^{2}-3 x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.110 |
|
| 26156 |
\begin{align*}
2 x -4 y+6+\left (x +y-2\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.211 |
|
| 26157 |
\begin{align*}
x^{2} \left (x y^{2}-1\right ) {y^{\prime }}^{2}+2 x^{2} y^{2} \left (-x +y\right ) y^{\prime }-y^{2} \left (x^{2} y-1\right )&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.230 |
|
| 26158 |
\begin{align*}
y^{\prime \prime }-3 y y^{\prime }-3 a y^{2}-4 a^{2} y-b&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
34.242 |
|
| 26159 |
\begin{align*}
y^{\left (10\right )}+y&=x^{10} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.253 |
|
| 26160 |
\begin{align*}
x +3 y-5-\left (x -y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.342 |
|
| 26161 |
\begin{align*}
x y^{\prime }-y \left (2 y \ln \left (x \right )-1\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.345 |
|
| 26162 |
\begin{align*}
x y y^{\prime }-y^{2}&=\sqrt {x^{2} y^{2}+x^{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.374 |
|
| 26163 |
\begin{align*}
x^{\prime \prime }+x^{\prime }+{x^{\prime }}^{3}+x&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.396 |
|
| 26164 |
\begin{align*}
x y^{\prime }+x y^{2}-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.484 |
|
| 26165 |
\begin{align*}
\tan \left (y\right )-\tan \left (y\right )^{2} \cos \left (x \right )-x \sec \left (y\right )^{2} y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.497 |
|
| 26166 |
\begin{align*}
y^{\prime }&=f \left (x \right ) y^{2}-a^{2} f \left (x \right )+a \lambda \sinh \left (\lambda x \right )-a^{2} f \left (x \right ) \sinh \left (\lambda x \right )^{2} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.543 |
|
| 26167 |
\begin{align*}
y^{\prime \prime }-f \left (x \right ) y^{\prime }+\left (f \left (x \right )-1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
34.577 |
|
| 26168 |
\begin{align*}
y^{\prime }&=\frac {\left (2 y \ln \left (x \right )-1\right )^{2}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.607 |
|
| 26169 |
\begin{align*}
y^{\prime }&=x +y^{2} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.610 |
|
| 26170 |
\begin{align*}
y^{\prime }&=\sqrt {y x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.611 |
|
| 26171 |
\begin{align*}
x y \left (x^{2}+1\right ) y^{\prime }-1-y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.625 |
|
| 26172 |
\begin{align*}
y^{2}+2 x^{2} y+\left (2 x^{3}-y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.628 |
|
| 26173 |
\begin{align*}
y^{\prime }&=\frac {2 x y^{2}}{1-x^{2} y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.647 |
|
| 26174 |
\begin{align*}
\left (y^{\prime }+1\right ) \ln \left (\frac {x +y}{x +3}\right )&=\frac {x +y}{x +3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.667 |
|
| 26175 |
\begin{align*}
2 x -y+\left (-3+x +y\right ) y^{\prime }&=0 \\
y \left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.668 |
|
| 26176 |
\begin{align*}
x \cos \left (y\right )^{2}+\tan \left (y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.673 |
|
| 26177 |
\begin{align*}
\left (x +1\right ) y^{\prime }-y-1&=\left (x +1\right ) \sqrt {y+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.682 |
|
| 26178 |
\begin{align*}
x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.692 |
|
| 26179 |
\begin{align*}
x \left (-2 y-x +1\right ) y^{\prime }+\left (2 x +y+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.750 |
|
| 26180 |
\begin{align*}
x +4 y+3-\left (2 x -y-3\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.754 |
|
| 26181 |
\begin{align*}
y^{\prime \prime }&=2 y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.771 |
|
| 26182 |
\begin{align*}
x y^{\prime }+y&=y^{\prime } \sqrt {1-x^{2} y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.799 |
|
| 26183 |
\begin{align*}
y^{\prime }&=\frac {2 a +\sqrt {-y^{2}+4 a x}+x^{2} \sqrt {-y^{2}+4 a x}+x^{3} \sqrt {-y^{2}+4 a x}}{y} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
34.824 |
|
| 26184 |
\begin{align*}
3 y+2 x y^{2}+\left (x +2 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.831 |
|
| 26185 |
\begin{align*}
y^{\prime }&=\frac {2 x +3 y+1}{3 x -2 y-5} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.838 |
|
| 26186 |
\begin{align*}
{y^{\prime }}^{2}+\left (y+a \right ) y^{\prime \prime }&=b \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
34.848 |
|
| 26187 |
\begin{align*}
y^{\prime }+\frac {\tan \left (y\right )}{x}&=\frac {\tan \left (y\right ) \sin \left (y\right )}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.904 |
|
| 26188 |
\begin{align*}
y^{\prime }&=\frac {x^{3} {\mathrm e}^{y}+x^{4}+y \,{\mathrm e}^{y}-{\mathrm e}^{y} \ln \left (x +{\mathrm e}^{y}\right )+y x -\ln \left (x +{\mathrm e}^{y}\right ) x +x}{x^{2}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
34.917 |
|
| 26189 |
\begin{align*}
3 x^{2} y^{4}+2 y x +\left (2 x^{3} y^{2}-x^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
34.928 |
|
| 26190 |
\begin{align*}
x +3 y-4+\left (x +4 y-5\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.934 |
|
| 26191 |
\begin{align*}
x \sin \left (\frac {y}{x}\right ) y^{\prime }&=\sin \left (\frac {y}{x}\right ) y-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
34.981 |
|
| 26192 |
\begin{align*}
x \left (x -2 y+1\right ) y^{\prime }+\left (1-2 x +y\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.006 |
|
| 26193 |
\begin{align*}
c y+\left (b x +a \right ) y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
35.067 |
|
| 26194 |
\begin{align*}
x y^{\prime }+a_{0} +a_{1} x +\left (a_{2} +a_{3} x y\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.074 |
|
| 26195 |
\begin{align*}
2 x y^{\prime }-y&=1-\frac {2}{\sqrt {x}} \\
y \left (\infty \right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.088 |
|
| 26196 |
\begin{align*}
2 x y^{2}+\left (1-x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.100 |
|
| 26197 |
\begin{align*}
\frac {y^{\prime }}{t}&=\sqrt {y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
35.115 |
|
| 26198 |
\begin{align*}
x y^{\prime }&=\lambda \arctan \left (x \right )^{n} y^{2}+k y+\lambda \,b^{2} x^{2 k} \arctan \left (x \right )^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.202 |
|
| 26199 |
\begin{align*}
y^{\prime }&=\frac {-\sin \left (\frac {y}{x}\right ) y+y \sin \left (\frac {3 y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )+y \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right )+2 \sin \left (\frac {y}{x}\right ) x^{2} \sin \left (\frac {y}{2 x}\right ) \cos \left (\frac {y}{2 x}\right )}{2 \cos \left (\frac {y}{x}\right ) \cos \left (\frac {y}{2 x}\right ) \sin \left (\frac {y}{2 x}\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.214 |
|
| 26200 |
\begin{align*}
2 x^{3} y+y^{3}-\left (x^{4}+2 x y^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
35.250 |
|