| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 14901 |
\begin{align*}
x {y^{\prime }}^{2}-2 y^{\prime } y+x +2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.147 |
|
| 14902 |
\begin{align*}
y^{\prime \prime }+k^{2} y&=k \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.147 |
|
| 14903 |
\begin{align*}
x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.147 |
|
| 14904 |
\begin{align*}
x^{\prime \prime }-\frac {t x^{\prime }}{4}+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.147 |
|
| 14905 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (3 x^{2}-4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.147 |
|
| 14906 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=-21 x_{1}-5 x_{2}-27 x_{3}-9 x_{4} \\
x_{3}^{\prime }&=5 x_{3} \\
x_{4}^{\prime }&=-21 x_{3}-2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14907 |
\begin{align*}
y^{\prime }+7 y&={\mathrm e}^{3 x} \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14908 |
\begin{align*}
x^{2} y-\left (x^{3}+y^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14909 |
\begin{align*}
\left (x^{3}+a y^{3}\right ) y^{\prime }&=x^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14910 |
\begin{align*}
y^{\prime }&=-y x +1 \\
y \left (0\right ) &= -4 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14911 |
\begin{align*}
\left (x^{3}-2 x^{2}+3 x \right )^{2} y^{\prime \prime }+x \left (x -3\right )^{2} y^{\prime }-\left (x +1\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14912 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +13 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14913 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }&=3-4 t \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14914 |
\begin{align*}
y^{\prime }+{y^{\prime }}^{3}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.148 |
|
| 14915 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (-n^{2}+x^{2}\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.148 |
|
| 14916 |
\begin{align*}
y^{\prime }&=\ln \left (1+y^{2}\right ) \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 14917 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}+x_{2}+x_{3}-2 x_{4} \\
x_{2}^{\prime }&=7 x_{1}-4 x_{2}-6 x_{3}+11 x_{4} \\
x_{3}^{\prime }&=5 x_{1}-x_{2}+x_{3}+3 x_{4} \\
x_{4}^{\prime }&=6 x_{1}-2 x_{2}-2 x_{3}+6 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 14918 | \begin{align*}
y^{\prime }&={\mathrm e}^{x +y} \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 1.149 |
|
| 14919 |
\begin{align*}
y^{\prime }+y x&=3 \\
y \left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.149 |
|
| 14920 |
\begin{align*}
y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+{\mathrm e}^{x} y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.149 |
|
| 14921 |
\begin{align*}
x^{2} y^{\prime \prime }+2 y^{\prime } x -12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.150 |
|
| 14922 |
\begin{align*}
y^{\prime }+a y&={\mathrm e}^{b t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.150 |
|
| 14923 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }+2 y&=\left \{\begin {array}{cc} 1 & 0\le t <10 \\ 0 & \operatorname {otherwise} \end {array}\right . \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✗ |
1.151 |
|
| 14924 |
\begin{align*}
3 x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (5-x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y&=-x^{3}+x \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.151 |
|
| 14925 |
\begin{align*}
y+x^{3} \left (3 x^{2}+a \right ) y^{\prime }+x^{6} y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.151 |
|
| 14926 |
\begin{align*}
\left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (x +1\right ) y^{\prime }+2 y&=\left (2+x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.151 |
|
| 14927 |
\begin{align*}
y^{\prime \prime }&=y^{\prime } \left (1+y^{\prime }\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.151 |
|
| 14928 |
\begin{align*}
y^{\prime }&=x^{2}-y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.152 |
|
| 14929 |
\begin{align*}
{y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 y^{\prime } x +x^{2}&=0 \\
y \left (0\right ) &= {\frac {1}{2}} \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✗ |
✗ |
1.152 |
|
| 14930 |
\begin{align*}
y^{\prime \prime }+a \,x^{n} y^{\prime }-b \left (a \,x^{n +m}+b \,x^{2 m}+m \,x^{m -1}\right ) y&=0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.152 |
|
| 14931 |
\begin{align*}
2 y+y^{\prime }&=3 x -6 \\
y \left (x_{0} \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.152 |
|
| 14932 |
\begin{align*}
\left (a +b \cos \left (2 x \right )\right ) y+y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.153 |
|
| 14933 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }&=5 t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.153 |
|
| 14934 |
\begin{align*}
y^{\prime }&=-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.153 |
|
| 14935 |
\begin{align*}
x^{2} y^{\prime \prime }+\frac {7 y^{\prime } x}{2}-\frac {3 y}{2}&=0 \\
y \left (-4\right ) &= 1 \\
y^{\prime }\left (-4\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.153 |
|
| 14936 |
\begin{align*}
x_{1}^{\prime }&=-x_{1}-5 x_{2} \\
x_{2}^{\prime }&=x_{1}+x_{2}+\frac {4}{\sin \left (2 t \right )} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.154 |
|
| 14937 |
\begin{align*}
y^{\prime }&=\left (x -y\right )^{2}+1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.154 |
|
| 14938 | \begin{align*}
x^{2} y^{\prime \prime }+5 y^{\prime } x +4 y&=x^{4} \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 1.154 |
|
| 14939 |
\begin{align*}
y^{\prime \prime } x +x^{3} y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.155 |
|
| 14940 |
\begin{align*}
\frac {x y^{\prime \prime }}{1-x}+y&=\cos \left (x \right ) \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.155 |
|
| 14941 |
\begin{align*}
x&=y \left (y^{\prime }+\frac {1}{y^{\prime }}\right )+{y^{\prime }}^{5} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.155 |
|
| 14942 |
\begin{align*}
y-2 y^{\prime }+y^{\prime \prime }&=\left (x^{2}-1\right ) {\mathrm e}^{2 x}+\left (3 x +4\right ) {\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.155 |
|
| 14943 |
\begin{align*}
y^{\prime \prime }+y&=x^{3} \\
y \left (0\right ) &= 0 \\
y \left (\pi \right ) &= 0 \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.155 |
|
| 14944 |
\begin{align*}
y^{\prime }&=y-t^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.155 |
|
| 14945 |
\begin{align*}
2 x^{2} \left (x^{2}+x +1\right ) y^{\prime \prime }+x \left (11 x^{2}+11 x +9\right ) y^{\prime }+\left (7 x^{2}+10 x +6\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.156 |
|
| 14946 |
\begin{align*}
x_{1}^{\prime }&=2 x_{1} \\
x_{2}^{\prime }&=-21 x_{1}-5 x_{2}-27 x_{3}-9 x_{4} \\
x_{3}^{\prime }&=5 x_{3} \\
x_{4}^{\prime }&=-21 x_{3}-2 x_{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 14947 |
\begin{align*}
y^{\prime \prime }-25 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 14948 |
\begin{align*}
x^{2} y^{\prime \prime }-5 y^{\prime } x +29 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 14949 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-4\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.157 |
|
| 14950 |
\begin{align*}
x_{1}^{\prime }&=4 x_{1}+x_{2}+x_{3}+7 x_{4} \\
x_{2}^{\prime }&=x_{1}+4 x_{2}+10 x_{3}+x_{4} \\
x_{3}^{\prime }&=x_{1}+10 x_{2}+4 x_{3}+x_{4} \\
x_{4}^{\prime }&=7 x_{1}+x_{2}+x_{3}+4 x_{4} \\
\end{align*} With initial conditions \begin{align*}
x_{1} \left (0\right ) &= 3 \\
x_{2} \left (0\right ) &= 1 \\
x_{3} \left (0\right ) &= 1 \\
x_{4} \left (0\right ) &= 3 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.158 |
|
| 14951 |
\begin{align*}
x {y^{\prime }}^{2}+y^{\prime } y-y^{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.158 |
|
| 14952 |
\begin{align*}
2 x^{2} y^{\prime \prime }+5 y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.158 |
|
| 14953 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+5 y&=4 \sin \left (t \right )+\delta \left (t -\frac {\pi }{6}\right ) \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.159 |
|
| 14954 |
\begin{align*}
\left (x +1\right ) \left (x^{2}+1\right ) y^{\prime }&=2 x^{2}+x \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.159 |
|
| 14955 |
\begin{align*}
4 y+y^{\prime \prime }&=\sin \left (x \right )+\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.160 |
|
| 14956 |
\begin{align*}
x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }+y&=\frac {1}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.160 |
|
| 14957 |
\begin{align*}
t^{2} y^{\prime \prime }+2 t y^{\prime }+2 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.161 |
|
| 14958 | \begin{align*}
y^{\prime }&=10+{\mathrm e}^{x +y} \\
\end{align*} | ✓ | ✓ | ✓ | ✓ | 1.161 |
|
| 14959 |
\begin{align*}
x^{2} y^{\prime \prime }+6 y^{\prime } x +4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.161 |
|
| 14960 |
\begin{align*}
a \,x^{2} y^{\prime \prime }+b x y^{\prime }+c y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.162 |
|
| 14961 |
\begin{align*}
y^{\prime }&=-{\mathrm e}^{t}+y \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.162 |
|
| 14962 |
\begin{align*}
y^{\prime } x -3 y x&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.162 |
|
| 14963 |
\begin{align*}
-a y-y^{\prime } x +y^{\prime \prime }&=0 \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.163 |
|
| 14964 |
\begin{align*}
-y^{\prime }+y^{\prime \prime } x&={\mathrm e}^{x} x^{2} \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.163 |
|
| 14965 |
\begin{align*}
y^{\prime \prime }+a^{2} y&=\cos \left (a x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.163 |
|
| 14966 |
\begin{align*}
y^{\prime \prime \prime }+y&=\sec \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.163 |
|
| 14967 |
\begin{align*}
x^{2} \left (x -5\right )^{2} y^{\prime \prime }+4 y^{\prime } x +\left (x^{2}-25\right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✗ |
1.164 |
|
| 14968 |
\begin{align*}
y^{\prime \prime }+y^{\prime } x +y&=2 x \,{\mathrm e}^{x}-1 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.164 |
|
| 14969 |
\begin{align*}
y^{\prime }+y^{2}-1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.164 |
|
| 14970 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=\frac {1}{{\mathrm e}^{x}+1} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.164 |
|
| 14971 |
\begin{align*}
y^{\prime \prime }&=2 y {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.164 |
|
| 14972 |
\begin{align*}
y^{\prime \prime } x -y^{\prime }+4 x^{3} y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.164 |
|
| 14973 |
\begin{align*}
s^{\prime \prime }&=-9 s \\
s \left (0\right ) &= 9 \\
s^{\prime }\left (0\right ) &= 18 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.164 |
|
| 14974 |
\begin{align*}
3 y^{2} y^{\prime }+y^{3}&={\mathrm e}^{-x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 14975 |
\begin{align*}
x^{2} y^{\prime \prime }-3 y^{\prime } x +4 y&=x^{4} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 14976 |
\begin{align*}
y^{\prime \prime } x +y^{\prime }&=x^{n} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 14977 | \begin{align*}
y^{\prime \prime }-y^{\prime } x +\left (x -1\right ) y&=0 \\
\end{align*} | ✓ | ✓ | ✓ | ✗ | 1.165 |
|
| 14978 |
\begin{align*}
y^{\prime \prime } x +\left (a \,x^{2}+b x +c \right ) y^{\prime }+\left (2 a x +b \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.165 |
|
| 14979 |
\begin{align*}
\left (a \,x^{2}+b x +c \right )^{2} y^{\prime \prime }+A y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.165 |
|
| 14980 |
\begin{align*}
x^{2} y^{\prime \prime }-7 y^{\prime } x +15 y&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 14981 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }&=18 x -10 \cos \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 14982 |
\begin{align*}
y^{\prime \prime }+5 y^{\prime }&=\sin \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 14983 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (\pi \right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.165 |
|
| 14984 |
\begin{align*}
x^{\prime \prime }+4 x^{\prime }+5 x&=\delta \left (t -\pi \right )+\delta \left (t -2 \pi \right ) \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 2 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
1.166 |
|
| 14985 |
\begin{align*}
b y+a y {y^{\prime }}^{2}+y^{\prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.166 |
|
| 14986 |
\begin{align*}
y^{\prime \prime \prime }+y&={\mathrm e}^{2 x} \sin \left (x \right )+{\mathrm e}^{\frac {x}{2}} \sin \left (\frac {\sqrt {3}\, x}{2}\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.166 |
|
| 14987 |
\begin{align*}
\left (x^{2}-1\right ) y^{\prime \prime }+y^{\prime } x&=m^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.166 |
|
| 14988 |
\begin{align*}
y^{\prime }-\frac {\sqrt {1+{y^{\prime }}^{2}}}{x}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 14989 |
\begin{align*}
y^{\prime \prime }+y^{\prime }&=x +\sin \left (2 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 14990 |
\begin{align*}
y^{\prime }&=y \ln \left (y+2\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 14991 |
\begin{align*}
\left (2 x^{2}+2 x \right ) y^{\prime \prime }+\left (5 x +1\right ) y^{\prime }+y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
1.167 |
|
| 14992 |
\begin{align*}
y^{\prime }-\tan \left (y x \right )&=0 \\
\end{align*} |
✗ |
✓ |
✗ |
✗ |
1.168 |
|
| 14993 |
\begin{align*}
y {y^{\prime }}^{2}+2 y^{\prime } x -y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 14994 |
\begin{align*}
\left (x -1\right ) y^{\prime \prime }+y^{\prime } x +\frac {y}{x}&=0 \\
\end{align*} Series expansion around \(x=1\). |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 14995 |
\begin{align*}
i^{\prime }+i&={\mathrm e}^{t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.168 |
|
| 14996 |
\begin{align*}
y^{\prime }&=y^{3}+{\mathrm e}^{-5 t} \\
y \left (0\right ) &= {\frac {2}{5}} \\
\end{align*} |
✗ |
✗ |
✗ |
✗ |
1.169 |
|
| 14997 | \begin{align*}
y^{\prime }&=y+{\mathrm e}^{-y}+{\mathrm e}^{-t} \\
y \left (0\right ) &= 0 \\
\end{align*} | ✗ | ✗ | ✗ | ✗ | 1.169 |
|
| 14998 |
\begin{align*}
y^{\prime }&=y+{\mathrm e}^{t} \\
y \left (0\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
1.169 |
|
| 14999 |
\begin{align*}
\left (a^{2}-x^{2}\right ) y {y^{\prime }}^{2}+\left (a^{2}-x^{2}\right ) \left (a^{2}-y^{2}\right ) y^{\prime \prime }&=x \left (a^{2}-y^{2}\right ) y^{\prime } \\
\end{align*} |
✗ |
✓ |
✓ |
✗ |
1.170 |
|
| 15000 |
\begin{align*}
\left (1-x \right ) y^{\prime \prime }+y^{\prime } x -y&=\left (1-x \right )^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
1.170 |
|