| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 22201 |
\begin{align*}
y^{\prime }&=-\frac {x^{2}-x -2-2 \sqrt {x^{2}-4 x +4 y}}{2 \left (x +1\right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.759 |
|
| 22202 |
\begin{align*}
\left (x^{2} y \sin \left (y x \right )-4 x \right ) y^{\prime }+x y^{2} \sin \left (y x \right )-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.765 |
|
| 22203 |
\begin{align*}
{\mathrm e}^{t} y+t \,{\mathrm e}^{t} y+\left ({\mathrm e}^{t} t +2\right ) y^{\prime }&=0 \\
y \left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.766 |
|
| 22204 |
\begin{align*}
\left (10 x^{3} y^{2}+x^{2} y+2 x \right ) y^{\prime }+5 x^{2} y^{3}+x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.771 |
|
| 22205 |
\begin{align*}
y^{\prime }&=\frac {x y \ln \left (x \right )-y+2 x^{5} b +2 a \,x^{3} y^{2}}{\left (x \ln \left (x \right )-1\right ) x} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.773 |
|
| 22206 |
\begin{align*}
y^{\prime } t +2 y \ln \left (t \right )&=4 \ln \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.773 |
|
| 22207 |
\begin{align*}
x^{n} y^{\prime }-a y^{2}-b \,x^{2 n -2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.774 |
|
| 22208 |
\begin{align*}
y^{\prime } x&=x^{3}+\left (2 x^{2}+1\right ) y+x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.778 |
|
| 22209 |
\begin{align*}
y^{\prime }&=-\frac {\left (-\frac {1}{x}-\textit {\_F1} \left (y^{2}-2 x \right )\right ) x}{\sqrt {y^{2}}} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.780 |
|
| 22210 |
\begin{align*}
y^{\prime }&=y^{2} \\
y \left (-1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.780 |
|
| 22211 |
\begin{align*}
2 x \left (x^{3}+y^{4}\right ) y^{\prime }&=\left (x^{3}+2 y^{4}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.789 |
|
| 22212 |
\begin{align*}
3 {y^{\prime \prime }}^{2}-y^{\prime \prime \prime } y^{\prime }-y^{\prime \prime } {y^{\prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.797 |
|
| 22213 |
\begin{align*}
x^{2} {y^{\prime }}^{2}-4 x \left (y+2\right ) y^{\prime }+4 \left (y+2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.797 |
|
| 22214 |
\begin{align*}
y^{\prime }&=x^{3} \left (-x +y\right )^{2}+\frac {y}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.800 |
|
| 22215 |
\begin{align*}
y^{\prime \prime } x -\left (3 x -2\right ) y^{\prime }-\left (2 x -3\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.804 |
|
| 22216 |
\begin{align*}
y^{\prime }&=f \left (x \right )+g \left (x \right ) y+h \left (x \right ) y^{n} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.805 |
|
| 22217 |
\begin{align*}
z^{\prime }+z \cos \left (x \right )&=z^{n} \sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.805 |
|
| 22218 |
\begin{align*}
y^{\prime }&=\frac {{\mathrm e}^{b x}}{y \,{\mathrm e}^{-b x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.810 |
|
| 22219 |
\begin{align*}
y^{\prime }&=\frac {x -1}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.812 |
|
| 22220 |
\begin{align*}
8 x +4 y+1+\left (4 x +2 y+1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.819 |
|
| 22221 |
\begin{align*}
2 y^{\prime } x&=\left (1+x -6 y^{2}\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.820 |
|
| 22222 |
\begin{align*}
x^{\prime \prime }+\lambda x-x^{3}&=0 \\
x \left (0\right ) &= 0 \\
x \left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.837 |
|
| 22223 |
\begin{align*}
x^{\prime }-x^{3}&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.839 |
|
| 22224 |
\begin{align*}
x^{2} y^{\prime \prime }+x^{2} y^{\prime }+2 \left (1-x \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.841 |
|
| 22225 |
\begin{align*}
b y+a \tan \left (x \right ) y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.845 |
|
| 22226 |
\begin{align*}
y^{\prime } x&=y+x \cos \left (\frac {y}{x}\right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.846 |
|
| 22227 |
\begin{align*}
2 {y^{\prime }}^{3}+y^{\prime } x -2 y&=0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.849 |
|
| 22228 |
\begin{align*}
y&=\frac {2 a {y^{\prime }}^{2}}{\left (1+{y^{\prime }}^{2}\right )^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.855 |
|
| 22229 |
\begin{align*}
y^{\prime } x +x \ln \left (y\right ) y^{\prime }&=x \sin \left (x \right )+\ln \left (y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.857 |
|
| 22230 |
\begin{align*}
y^{\prime } x +\tan \left (y\right )&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.861 |
|
| 22231 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime }-y x +a x y^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.864 |
|
| 22232 |
\begin{align*}
y y^{\prime } x +2 x +\frac {y^{2}}{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.871 |
|
| 22233 |
\begin{align*}
\left (2 x -y+2\right ) y^{\prime }+3+6 x -3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.875 |
|
| 22234 |
\begin{align*}
y+\left (x -2 x^{2} y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.878 |
|
| 22235 |
\begin{align*}
x^{\prime \prime }+6 x^{5}&=0 \\
x \left (0\right ) &= 0 \\
x \left (b \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
8.881 |
|
| 22236 |
\begin{align*}
y^{\prime }&=-\frac {\left (-\frac {y \,{\mathrm e}^{\frac {1}{x}}}{x}-\textit {\_F1} \left (y \,{\mathrm e}^{\frac {1}{x}}\right )\right ) {\mathrm e}^{-\frac {1}{x}}}{x} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.885 |
|
| 22237 |
\begin{align*}
\left (x -y\right ) y^{\prime }&=x +y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.886 |
|
| 22238 |
\begin{align*}
2 y y^{\prime } x -2 y^{2}-x^{2} {\mathrm e}^{-\frac {y^{2}}{x^{2}}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.886 |
|
| 22239 |
\begin{align*}
x^{\left (5\right )}+x&=0 \\
x \left (\infty \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.886 |
|
| 22240 |
\begin{align*}
y^{\prime \prime }+\left (x^{n} a +b \,x^{m}\right ) y^{\prime }+\left (x^{n +m} b a +b \left (m +1\right ) x^{m -1}-a \,x^{n -1}\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.889 |
|
| 22241 |
\begin{align*}
y^{\prime }&=\frac {-32 y x -8 x^{3}-16 a \,x^{2}-32 x +64 y^{3}+48 y^{2} x^{2}+96 a x y^{2}+12 x^{4} y+48 y a \,x^{3}+48 y a^{2} x^{2}+x^{6}+6 x^{5} a +12 a^{2} x^{4}+8 a^{3} x^{3}}{64 y+16 x^{2}+32 a x +64} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.891 |
|
| 22242 |
\begin{align*}
y^{\prime }&=y^{2}+a \cos \left (\beta x \right ) y+a b \cos \left (\beta x \right )-b^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.892 |
|
| 22243 |
\begin{align*}
\left (a^{2}+x^{2}\right ) y^{\prime }&=b +y x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.894 |
|
| 22244 |
\begin{align*}
y^{\prime \prime }+a \,x^{-1+q} y^{\prime }+b \,x^{q -2} y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.898 |
|
| 22245 |
\begin{align*}
y^{\prime }+2 \left (a^{2} x^{3}-b^{2} x \right ) y^{3}+3 b y^{2}&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.900 |
|
| 22246 |
\begin{align*}
y^{\prime }&=-\frac {216 y}{-216 y^{4}-252 y^{3}-396 y^{2}-216 y+36 x^{2}-72 y x +60 y^{5}-36 x y^{3}-72 x y^{2}-24 y^{4} x +4 y^{8}+12 y^{7}+33 y^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.905 |
|
| 22247 |
\begin{align*}
y^{\prime \prime }+\left (a x +b \right ) y^{\prime }+\left (c x +d \right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.910 |
|
| 22248 |
\begin{align*}
4 y^{2}+10 y x -4 y+8+x \left (2 x +2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.912 |
|
| 22249 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.914 |
|
| 22250 |
\begin{align*}
\sqrt {\left (a +x \right ) \left (x +b \right )}\, y^{\prime }+y&=\sqrt {a +x}-\sqrt {x +b} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.920 |
|
| 22251 |
\begin{align*}
y^{\prime }&=x y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.922 |
|
| 22252 |
\begin{align*}
\left (y^{3}+x \right ) y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.923 |
|
| 22253 |
\begin{align*}
y&=x +3 \ln \left (y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.927 |
|
| 22254 |
\begin{align*}
y^{\prime }&=\frac {x y \ln \left (x \right )+\ln \left (x \right ) x^{2}-2 y x -x^{2}-y^{2}-y^{3}+3 x y^{2} \ln \left (x \right )-3 x^{2} \ln \left (x \right )^{2} y+x^{3} \ln \left (x \right )^{3}}{x \left (-y+x \ln \left (x \right )-x \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.933 |
|
| 22255 |
\begin{align*}
y^{\prime }&=-\frac {x}{y} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.935 |
|
| 22256 |
\begin{align*}
\sin \left (y x \right )+x y \cos \left (y x \right )+x^{2} \cos \left (y x \right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.937 |
|
| 22257 |
\begin{align*}
\sin \left (y^{\prime } x \right ) \cos \left (y\right )&=\cos \left (y^{\prime } x \right ) \sin \left (y\right )+y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.938 |
|
| 22258 |
\begin{align*}
2 y&=\left (y^{4}+x \right ) y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.942 |
|
| 22259 |
\begin{align*}
x y \left (b \,x^{2}+a \right ) y^{\prime }&=A +B y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.942 |
|
| 22260 |
\begin{align*}
y y^{\prime }+f \left (x \right )&=g \left (x \right ) y \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.949 |
|
| 22261 |
\begin{align*}
y^{\prime }+y&=x y^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.954 |
|
| 22262 |
\begin{align*}
y^{\prime } x&=a \,x^{2 n}+\left (n +b y\right ) y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.956 |
|
| 22263 |
\begin{align*}
\cos \left (x \right ) y^{\prime }-y^{4}-\sin \left (x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.956 |
|
| 22264 |
\begin{align*}
y^{\prime }&=x y \left (3+y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.958 |
|
| 22265 |
\begin{align*}
\left (5+2 x -4 y\right ) y^{\prime }&=x -2 y+3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.962 |
|
| 22266 |
\begin{align*}
x^{2} \left (\operatorname {b1} \,x^{2}+\operatorname {a1} \right ) y+a x y^{\prime }+x^{2} y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.963 |
|
| 22267 |
\begin{align*}
x^{2} y^{\prime }+\left (x^{2}+y^{2}-x \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.965 |
|
| 22268 |
\begin{align*}
y&=y^{\prime } x +\sqrt {b^{2}-a^{2} {y^{\prime }}^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.965 |
|
| 22269 |
\begin{align*}
y^{\prime }-\frac {y^{2}}{x^{2}}&={\frac {1}{4}} \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.969 |
|
| 22270 |
\begin{align*}
y^{3} y^{\prime }&=t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.969 |
|
| 22271 |
\begin{align*}
3 x^{3} y^{2} y^{\prime }-x^{2} y^{3}&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.970 |
|
| 22272 |
\begin{align*}
y^{\prime }&=\frac {x y^{2}}{x^{2} y+y^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.970 |
|
| 22273 |
\begin{align*}
y^{\prime }&=\frac {y^{2} f^{\prime }\left (x \right )}{g \left (x \right )}-\frac {g^{\prime }\left (x \right )}{f \left (x \right )} \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.971 |
|
| 22274 |
\begin{align*}
3 x +2 y+1-\left (3 x +2 y-1\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.973 |
|
| 22275 |
\begin{align*}
x +y y^{\prime }&=0 \\
y \left (3\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.974 |
|
| 22276 |
\begin{align*}
\left (6 x -4 y+1\right ) y^{\prime }&=3 x -2 y+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.980 |
|
| 22277 |
\begin{align*}
y^{\prime }&=y^{2} x^{2} \\
y \left (-1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.981 |
|
| 22278 |
\begin{align*}
y^{\prime \prime }&=\left (a^{2}+\left (-1+p \right ) p \csc \left (x \right )^{2}+\left (-1+q \right ) q \sec \left (x \right )^{2}\right ) y \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
8.983 |
|
| 22279 |
\begin{align*}
y^{\prime \prime }+\frac {\left (x -1\right ) y^{\prime }}{x}+\frac {y}{x^{3}}&=\frac {{\mathrm e}^{-\frac {1}{x}}}{x^{3}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
8.987 |
|
| 22280 |
\begin{align*}
\left (1+y^{2}\right ) \cos \left (x \right )&=2 \left (1+\sin \left (x \right )^{2}\right ) y y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
8.987 |
|
| 22281 |
\begin{align*}
\sin \left (2 t \right ) y+\left (\sqrt {y}+\cos \left (2 t \right )\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
8.994 |
|
| 22282 |
\begin{align*}
y^{\prime }&=\frac {{\mathrm e}^{x}}{{\mathrm e}^{-x} y+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.001 |
|
| 22283 |
\begin{align*}
y^{3} {y^{\prime \prime }}^{2}+y y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.003 |
|
| 22284 |
\begin{align*}
y^{\prime }&=a \,{\mathrm e}^{\lambda x} \left (y-b \,x^{n}-c \right )^{2}+b n \,x^{n -1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
9.007 |
|
| 22285 |
\begin{align*}
y^{\prime }&=a +b y^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.008 |
|
| 22286 |
\begin{align*}
n y-y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
9.010 |
|
| 22287 |
\begin{align*}
y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{3}&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
9.014 |
|
| 22288 |
\begin{align*}
y^{\prime }&=\frac {y}{x}+\sin \left (\frac {y}{x}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.021 |
|
| 22289 |
\begin{align*}
x^{\prime }&=-\left (1+p \right ) t^{p} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.026 |
|
| 22290 |
\begin{align*}
y^{\prime }&=\frac {\left ({\mathrm e}^{-\frac {y}{x}} y+{\mathrm e}^{-\frac {y}{x}} x +x^{3}\right ) {\mathrm e}^{\frac {y}{x}}}{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.027 |
|
| 22291 |
\begin{align*}
y^{\prime }&=\frac {2 y^{8}}{y^{5}+2 y^{6}+2 y^{2}+16 y^{4} x +32 y^{6} x^{2}+2+24 x y^{2}+96 x^{2} y^{4}+128 x^{3} y^{6}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
9.035 |
|
| 22292 |
\begin{align*}
y \ln \left (t \right )+\left (t -3\right ) y^{\prime }&=2 t \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
9.039 |
|
| 22293 |
\begin{align*}
{\mathrm e}^{x} \sin \left (y\right )+\tan \left (y\right )+\left ({\mathrm e}^{x} \cos \left (y\right )+x \sec \left (y\right )^{2}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
9.042 |
|
| 22294 |
\begin{align*}
y^{\prime }&=\frac {x^{2}}{y^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.043 |
|
| 22295 |
\begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
y \left (1\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
9.051 |
|
| 22296 |
\begin{align*}
x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-v \left (v -1\right ) y&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
9.051 |
|
| 22297 |
\begin{align*}
x^{2} y^{\prime \prime }+4 y^{\prime } x +2 y&=4 \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.053 |
|
| 22298 |
\begin{align*}
t^{2} y^{\prime \prime }-2 y^{\prime } t +2 y&=4 t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.054 |
|
| 22299 |
\begin{align*}
y^{\prime } x -2 y-2 y^{3} x^{4}&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.057 |
|
| 22300 |
\begin{align*}
x \left (x +y\right ) y^{\prime }&=y \left (x -y\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
9.061 |
|