| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 6901 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.444 |
|
| 6902 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=4 \,{\mathrm e}^{-2 x} \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.444 |
|
| 6903 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \cos \left (x \right ) \sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.444 |
|
| 6904 |
\begin{align*}
y_{1}^{\prime }-3 y_{1}&=-4 y_{2} \\
y_{2}^{\prime }+y_{2}&=y_{1} \\
\end{align*} With initial conditions \begin{align*}
y_{1} \left (0\right ) &= 1 \\
y_{2} \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.444 |
|
| 6905 |
\begin{align*}
y^{\prime } x +6 y&=3 x y^{{4}/{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6906 |
\begin{align*}
\left (x^{2}-4\right ) y^{\prime \prime }-y^{\prime } x -3 y&=0 \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6907 |
\begin{align*}
-2 y+\left (1-4 x \right ) y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.445 |
|
| 6908 |
\begin{align*}
y^{\prime \prime }+y&=2 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6909 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }-3 y&=6 x +4 \\
y \left (-1\right ) &= 0 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6910 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=\frac {1}{1+{\mathrm e}^{-x}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.445 |
|
| 6911 |
\begin{align*}
y^{\prime }-y^{\prime \prime } x +{y^{\prime \prime }}^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6912 |
\begin{align*}
\left (2 x^{2}-8 x +11\right ) y^{\prime \prime }-16 \left (x -2\right ) y^{\prime }+36 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.445 |
|
| 6913 |
\(\left [\begin {array}{ccc} 32 & -67 & 47 \\ 7 & -14 & 13 \\ -7 & 15 & -6 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.445 |
|
| 6914 |
\begin{align*}
x^{\prime }&=-4 x-2 y \\
y^{\prime }&=-x-3 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6915 |
\begin{align*}
y^{\prime \prime }+16 y&=t \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6916 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=27 \,{\mathrm e}^{6 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6917 |
\begin{align*}
y^{\prime \prime }+y x&=\sin \left (x \right ) \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.445 |
|
| 6918 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6919 |
\begin{align*}
y^{\prime }+y&=3 \,{\mathrm e}^{2 x} \\
y \left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6920 |
\begin{align*}
n \left (n +1\right ) y-2 y^{\prime } x +\left (-x^{2}+1\right ) y^{\prime \prime }&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6921 |
\begin{align*}
y^{\prime \prime \prime }+a^{2} y^{\prime }&=\sin \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6922 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6923 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime } x +x^{2} y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= -1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6924 |
\begin{align*}
-y+y^{\prime } x +x^{3} y^{\prime \prime \prime }&=x \ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6925 |
\begin{align*}
x^{\prime }+y^{\prime }-x&=0 \\
x^{\prime }+2 y^{\prime }&=4 \,{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.445 |
|
| 6926 |
\begin{align*}
4 y+y^{\prime \prime }&=8 \sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6927 |
\begin{align*}
{y^{\prime }}^{3}+\left (2 x -y^{2}\right ) {y^{\prime }}^{2}-2 y^{2} y^{\prime } x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6928 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6929 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-6 y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.446 |
|
| 6930 |
\begin{align*}
y^{\prime \prime }-y&=4-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6931 |
\begin{align*}
2 y+3 x y^{2}+\left (x +2 x^{2} y\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6932 |
\begin{align*}
t^{3} x^{\prime \prime \prime }-3 t^{2} x^{\prime \prime }+6 t x^{\prime }-6 x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6933 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+3 y&=\cos \left (x \right ) {\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6934 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=18 x^{2}+3 x +4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6935 |
\begin{align*}
y^{\prime \prime }-12 y^{\prime }+36 y&=81 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6936 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+2 y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6937 |
\begin{align*}
4 x^{2} y^{\prime \prime }+17 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6938 |
\begin{align*}
x^{\prime }&=-x+2 y \\
y^{\prime }&=-2 x-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6939 |
\begin{align*}
x_{1}^{\prime }&=3 x_{1}-2 x_{2} \\
x_{2}^{\prime }&=2 x_{1}-2 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6940 |
\begin{align*}
5 y+4 y^{\prime }+y^{\prime \prime }&=50 x +13 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.446 |
|
| 6941 |
\begin{align*}
x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1&=0 \\
y \left (1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.446 |
|
| 6942 |
\begin{align*}
y^{\prime \prime }+y&={\mathrm e}^{t} {\mathrm e}^{i t} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.446 |
|
| 6943 |
\begin{align*}
4 x^{4} y^{\prime \prime \prime \prime }+24 x^{3} y^{\prime \prime \prime }+23 x^{2} y^{\prime \prime }-y^{\prime } x +y&=6 x \\
y \left (1\right ) &= 2 \\
y^{\prime }\left (1\right ) &= 0 \\
y^{\prime \prime }\left (1\right ) &= 4 \\
y^{\prime \prime \prime }\left (1\right ) &= -{\frac {37}{4}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6944 |
\begin{align*}
y^{\prime }&=\sin \left (t \right )^{2} \\
y \left (\frac {\pi }{6}\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6945 |
\begin{align*}
\left (z^{2}+5 z +6\right ) y^{\prime \prime }+2 y&=0 \\
\end{align*} Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6946 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-3 x_{2} \\
x_{2}^{\prime }&=3 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6947 |
\begin{align*}
\left (-x^{2}+1\right ) y^{\prime \prime }-6 y^{\prime } x -4 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6948 |
\begin{align*}
y^{\prime \prime }+y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6949 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6950 |
\begin{align*}
\left (x^{2}-25\right ) y^{\prime \prime }+2 y^{\prime } x +y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6951 |
\begin{align*}
x^{\prime }&=x+3 y \\
y^{\prime }&=3 x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6952 |
\begin{align*}
-2 y+5 y^{\prime }-3 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&=x \,{\mathrm e}^{x}+3 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6953 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6954 |
\begin{align*}
x^{\prime }&=a y \\
y^{\prime }&=b x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6955 |
\begin{align*}
y^{\prime \prime }+9 y&=6 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6956 |
\begin{align*}
y^{\prime \prime } x&=y^{\prime } \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6957 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }+4 y&=0 \\
y \left (-1\right ) &= 2 \\
y^{\prime }\left (-1\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6958 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6959 |
\begin{align*}
y^{\prime \prime }+\frac {y^{\prime }}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6960 |
\begin{align*}
\left (x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6961 |
\begin{align*}
x^{5} y^{\left (5\right )}+3 x^{3} y^{\prime \prime \prime }-9 x^{2} y^{\prime \prime }+18 y^{\prime } x -18 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6962 |
\begin{align*}
4 y+y^{\prime \prime }&=\cos \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6963 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.447 |
|
| 6964 |
\begin{align*}
y^{\prime \prime } x +2 y^{\prime }+9 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6965 |
\begin{align*}
y^{\prime }&=8 \,{\mathrm e}^{4 t}+t \\
y \left (0\right ) &= 12 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6966 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-2 x_{2} \\
x_{2}^{\prime }&=2 x_{1}+x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6967 |
\begin{align*}
y^{\prime \prime }+y&=\tan \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6968 |
\begin{align*}
y^{\prime \prime }-\left (x +1\right ) y^{\prime }-y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6969 |
\begin{align*}
2 y^{\prime \prime \prime }+3 y^{\prime \prime }-3 y^{\prime }-2 y&={\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6970 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6971 |
\begin{align*}
x^{\prime }&=3 x+y \\
y^{\prime }&=-x+y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6972 |
\begin{align*}
y^{\prime \prime } x -2 y^{\prime }+a y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6973 |
\begin{align*}
y^{\prime }-2 y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6974 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=-{\mathrm e}^{-9 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6975 |
\begin{align*}
y^{\prime \prime }+y^{\prime }+y&=t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6976 |
\begin{align*}
y^{\prime \prime }+y&=t +{\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| 6977 |
\begin{align*}
x_{1}^{\prime }&=x_{1}-5 x_{2} \\
x_{2}^{\prime }&=x_{1}+3 x_{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6978 |
\begin{align*}
y^{\prime \prime }+y&=\sec \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6979 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6980 |
\begin{align*}
y^{\prime }&=x +\frac {1}{x} \\
y \left (1\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6981 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=5 \,{\mathrm e}^{3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6982 |
\begin{align*}
y^{\prime }&=\sin \left (\frac {x}{2}\right ) \\
y \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6983 |
\begin{align*}
x^{\prime }&=2 x-4 y \\
y^{\prime }&=2 x-2 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6984 |
\begin{align*}
y^{\prime \prime }-\frac {6 y^{\prime }}{5}+\frac {9 y}{25}&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6985 |
\begin{align*}
y^{\prime \prime }+9 y&=18 x -3+20 \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6986 |
\begin{align*}
y^{\prime \prime }-10 y^{\prime }+25 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6987 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+4 y&={\mathrm e}^{2 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.449 |
|
| 6988 |
\begin{align*}
2 y^{\prime \prime }+5 y^{\prime } x +\left (2 x^{2}+4\right ) y&=0 \\
y \left (0\right ) &= 3 \\
y^{\prime }\left (0\right ) &= -2 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6989 |
\begin{align*}
3 y^{\prime \prime }+2 y^{\prime } x +\left (-x^{2}+4\right ) y&=0 \\
y \left (0\right ) &= -2 \\
y^{\prime }\left (0\right ) &= 3 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6990 |
\begin{align*}
\left (z^{2}+5 z +7\right ) y^{\prime \prime }+2 y&=0 \\
\end{align*} Series expansion around \(z=0\). |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6991 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }-3 y&=\sin \left (x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6992 |
\begin{align*}
2 y+3 y^{\prime }+\left (1-x \right ) x y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.450 |
|
| 6993 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y&=\cosh \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6994 |
\begin{align*}
y^{\prime }&=2 y x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6995 |
\begin{align*}
y^{\prime }-\frac {y}{x}&=x^{2} \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
0.450 |
|
| 6996 |
\begin{align*}
L i^{\prime }+R i&=E_{0} \sin \left (\omega t \right ) \\
i \left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6997 |
\begin{align*}
x^{\prime }+y^{\prime }+2 y&=\sin \left (t \right ) \\
x^{\prime }+y^{\prime }-x-y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.450 |
|
| 6998 |
\begin{align*}
x^{\prime }&=3 x \\
y^{\prime }&=x-2 y \\
\end{align*} With initial conditions \begin{align*}
x \left (0\right ) &= 1 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 6999 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=10 \,{\mathrm e}^{3 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| 7000 |
\begin{align*}
y^{\prime }+\frac {y}{x -1}&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.450 |
|