| # |
ID |
ODE |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| 3101 |
\begin{align*}
x^{2} y^{\prime \prime }-y^{\prime } x +y&=x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3102 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y&=-{\mathrm e}^{-x} \left (4-8 x \right ) \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3103 |
\begin{align*}
y^{\prime \prime }+y \,{\mathrm e}^{2 x}&=n^{2} y \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.210 |
|
| 3104 |
\begin{align*}
y^{\prime \prime \prime \prime }&=\sin \left (x \right )+24 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3105 |
\begin{align*}
y^{\prime \prime } x +\left (x -6\right ) y^{\prime }-3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.210 |
|
| 3106 |
\begin{align*}
2 \left (t^{2}-5 t +6\right ) y^{\prime \prime }+\left (2 t -3\right ) y^{\prime }-8 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.210 |
|
| 3107 |
\begin{align*}
x^{2} \left (x +1\right ) y^{\prime \prime }-x \left (3+10 x \right ) y^{\prime }+30 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.210 |
|
| 3108 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (2 x^{2}+1\right ) y^{\prime }-\left (-10 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.210 |
|
| 3109 |
\begin{align*}
\sin \left (x \right )-\cos \left (x \right ) y-3 \sin \left (x \right ) y^{\prime }+3 \left (\cos \left (x \right )+1\right ) y^{\prime \prime }+\left (x +\sin \left (x \right )\right ) y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.210 |
|
| 3110 |
\begin{align*}
x^{\prime \prime }+2 x^{\prime }+x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3111 |
\begin{align*}
-8 y+7 y^{\prime } x -3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime }&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3112 |
\begin{align*}
y^{\prime \prime }+9 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3113 |
\begin{align*}
y^{\prime \prime \prime }-4 y&=4 x +2+3 \,{\mathrm e}^{-2 x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3114 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }&=2 x^{3}-x \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.210 |
|
| 3115 |
\begin{align*}
y^{\prime \prime }+6 y^{\prime }+13 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3116 |
\begin{align*}
y^{\prime \prime }+2 y^{\prime }+\frac {5 y}{4}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3117 |
\begin{align*}
y^{\prime \prime }-3 y^{\prime }+2 y&=4 \,{\mathrm e}^{3 t} \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3118 |
\begin{align*}
y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3119 |
\begin{align*}
y^{\prime \prime }+4 y^{\prime }-5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3120 |
\begin{align*}
y^{\prime \prime }+x^{5} y^{\prime }+6 x^{4} y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.211 |
|
| 3121 |
\begin{align*}
4 x^{2} y^{\prime \prime }+2 x \left (-x^{2}+4\right ) y^{\prime }+\left (7 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.211 |
|
| 3122 |
\begin{align*}
y^{\prime \prime }+f \left (x \right ) y^{\prime }+\left (\frac {f \left (x \right )^{2}}{4}+\frac {f^{\prime }\left (x \right )}{2}+a \right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.211 |
|
| 3123 |
\(\left [\begin {array}{cc} 4 & -2 \\ 1 & 1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.211 |
|
| 3124 |
\(\left [\begin {array}{cc} 5 & -4 \\ 2 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.211 |
|
| 3125 |
\begin{align*}
x^{\prime }&=-3 x-y \\
y^{\prime }&=x-5 y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3126 |
\begin{align*}
x^{\prime }&=x \\
y^{\prime }&=y \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3127 |
\begin{align*}
y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }&=6 x -20-120 \,{\mathrm e}^{x} x^{2} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3128 |
\begin{align*}
y^{\prime \prime \prime \prime }+9 y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3129 |
\begin{align*}
y-4 y^{\prime }+6 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime }&={\mathrm e}^{x} \left (x +1\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3130 |
\begin{align*}
x^{3} v^{\prime \prime \prime }+2 x^{2} v^{\prime \prime }+v&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3131 |
\begin{align*}
b^{\left (7\right )}&=3 p \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3132 |
\begin{align*}
y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+9 y^{\prime \prime }&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime }\left (\infty \right ) &= 1 \\
y^{\prime \prime }\left (0\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.211 |
|
| 3133 |
\begin{align*}
y^{\prime \prime }+8 y^{\prime }+15 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.212 |
|
| 3134 |
\begin{align*}
y^{\prime \prime }-4 y^{\prime }+3 y&=6 t -8 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.212 |
|
| 3135 |
\begin{align*}
x \left (a y^{\prime }+b y^{\prime \prime }+c y^{\prime \prime \prime }+e y^{\prime \prime \prime \prime }\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.212 |
|
| 3136 |
\(\left [\begin {array}{cc} 5 & -6 \\ 3 & -4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.212 |
|
| 3137 |
\begin{align*}
x {y^{\prime }}^{2}-y y^{\prime }-y^{\prime }+1&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.212 |
|
| 3138 |
\begin{align*}
y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }&=x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.212 |
|
| 3139 |
\begin{align*}
y^{\prime \prime }+3 y^{\prime }-4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.212 |
|
| 3140 |
\begin{align*}
y^{\prime \prime }-4 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3141 |
\begin{align*}
x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 y^{\prime } x +6 y&=0 \\
y \left (1\right ) &= 1 \\
y^{\prime }\left (1\right ) &= 0 \\
y^{\prime \prime }\left (1\right ) &= 0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3142 |
\begin{align*}
y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+8 y^{\prime \prime }+8 y^{\prime }+4 y&=-2 \,{\mathrm e}^{x} \left (\cos \left (x \right )-\sin \left (x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3143 |
\begin{align*}
y^{\prime \prime \prime }&=\sin \left (x \right )^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3144 |
\begin{align*}
2 \left (x +3\right ) x^{2} y^{\prime \prime }+x \left (5 x +1\right ) y^{\prime }+\left (x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.213 |
|
| 3145 |
\begin{align*}
\left (1-x \right ) x^{2} y^{\prime \prime }+x \left (x +4\right ) y^{\prime }+\left (-x +2\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.213 |
|
| 3146 |
\begin{align*}
\left (2+x \right ) y^{\prime \prime }+\left (x +1\right ) y^{\prime }+3 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.213 |
|
| 3147 |
\begin{align*}
9 x^{2} \left (x +1\right ) y^{\prime \prime }+3 x \left (-x^{2}+11 x +5\right ) y^{\prime }+\left (-7 x^{2}+16 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.213 |
|
| 3148 |
\begin{align*}
y^{\prime \prime }-\frac {2 \left (1+t \right ) y^{\prime }}{t^{2}+2 t -1}+\frac {2 y}{t^{2}+2 t -1}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.213 |
|
| 3149 |
\begin{align*}
y^{\prime \prime }+t y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3150 |
\begin{align*}
y^{\prime \prime \prime }-y^{\prime \prime }&=3 x +x \,{\mathrm e}^{x} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3151 |
\begin{align*}
y^{\prime \prime \prime }&=-24 \cos \left (\frac {\pi x}{2}\right ) \\
y \left (0\right ) &= -4 \\
y \left (1\right ) &= 0 \\
y^{\prime }\left (1\right ) &= 6 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3152 |
\begin{align*}
y^{\prime \prime \prime }-2 y^{\prime \prime }&=1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.213 |
|
| 3153 |
\begin{align*}
y^{\prime \prime }&=2 y {y^{\prime }}^{3} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3154 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3155 |
\begin{align*}
y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }-4 y&=-{\mathrm e}^{2 x} \left (15 x^{2}+28 x +4\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3156 |
\begin{align*}
y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }-4 y&={\mathrm e}^{x} \left (2 \cos \left (2 x \right )-\sin \left (2 x \right )\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3157 |
\begin{align*}
y^{\prime \prime }-6 y^{\prime }+13 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3158 |
\begin{align*}
4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+4 x \left (6 x^{2}+1\right ) y^{\prime }-\left (-25 x^{2}+1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3159 |
\begin{align*}
5 y^{\prime \prime }-2 y^{\prime } x +10 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3160 |
\begin{align*}
12 x^{2} \left (x +1\right ) y^{\prime \prime }+x \left (3 x^{2}+35 x +11\right ) y^{\prime }-\left (-5 x^{2}-10 x +1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3161 |
\begin{align*}
x \left (x^{2}+1\right ) y^{\prime \prime }+\left (7 x^{2}+4\right ) y^{\prime }+8 y x&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3162 |
\begin{align*}
4 x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+4 x \left (x^{2}+2\right ) y^{\prime }-\left (x^{2}+15\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3163 |
\begin{align*}
x^{2} y^{\prime \prime }+x \left (x +1\right ) y^{\prime }+\left (3 x -1\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3164 |
\begin{align*}
y^{\prime \prime }-a^{2} y&=\frac {6 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3165 |
\begin{align*}
y^{\prime \prime }+q y^{\prime }&=\frac {2 y}{x^{2}} \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.214 |
|
| 3166 |
\(\left [\begin {array}{cc} 6 & -4 \\ 3 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.214 |
|
| 3167 |
\(\left [\begin {array}{cc} 10 & -8 \\ 6 & -4 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.214 |
|
| 3168 |
\begin{align*}
y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3169 |
\begin{align*}
y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+15 y^{\prime \prime }+20 y^{\prime }+12 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3170 |
\begin{align*}
y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+6 y^{\prime \prime }+2 y^{\prime }+5 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3171 |
\begin{align*}
x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+9 y^{\prime } x +16 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3172 |
\begin{align*}
y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+30 y^{\prime \prime }-56 y^{\prime }+49 y&=0 \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 2 \\
y^{\prime \prime }\left (0\right ) &= -1 \\
y^{\prime \prime \prime }\left (0\right ) &= -1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3173 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }-10 y^{\prime }-24 y&={\mathrm e}^{-3 t} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3174 |
\begin{align*}
y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }&=\cos \left (t \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3175 |
\begin{align*}
x^{4} y^{\prime \prime }+\sin \left (x \right ) y&=0 \\
\end{align*} Series expansion around \(x=0\). |
✗ |
✗ |
✓ |
✗ |
0.214 |
|
| 3176 |
\begin{align*}
{y^{\prime }}^{2}+2 y^{\prime } x -3 x^{2}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.214 |
|
| 3177 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +y&=\ln \left (x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3178 |
\begin{align*}
4 y^{\prime \prime }+12 y^{\prime }+9 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3179 |
\begin{align*}
4 y^{\prime \prime \prime }-3 y^{\prime }-y&={\mathrm e}^{-\frac {x}{2}} \left (2-3 x \right ) \\
y \left (0\right ) &= -1 \\
y^{\prime }\left (0\right ) &= 15 \\
y^{\prime \prime }\left (0\right ) &= -17 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3180 |
\begin{align*}
{y^{\prime }}^{2}-y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3181 |
\(\left [\begin {array}{cc} 9 & -8 \\ 6 & -5 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.215 |
|
| 3182 |
\begin{align*}
y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3183 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3184 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3185 |
\begin{align*}
2 y-3 y^{\prime }+y^{\prime \prime }&=10 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3186 |
\begin{align*}
y^{\prime \prime \prime }+y^{\prime }+y&=\sin \left (3 x \right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.215 |
|
| 3187 |
\begin{align*}
y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime }&={\mathrm e}^{2 x} \left (12 x^{2}+26 x +15\right ) \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3188 |
\begin{align*}
y^{\prime }+2 y x -x \,{\mathrm e}^{-x^{2}}&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3189 |
\begin{align*}
y^{\prime \prime }+4 y x&=0 \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3190 |
\begin{align*}
\left (x^{2}-2 x +10\right ) y^{\prime \prime }+y^{\prime } x -4 y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✗ |
0.216 |
|
| 3191 |
\begin{align*}
4 x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (4 x^{2}-25\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3192 |
\begin{align*}
x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {9}{4}\right ) y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3193 |
\(\left [\begin {array}{cc} 4 & -3 \\ 2 & -1 \end {array}\right ]\) |
✓ |
N/A |
N/A |
N/A |
0.216 |
|
| 3194 |
\begin{align*}
y^{\prime \prime }-y^{\prime }-2 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (2\right ) &= 1 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3195 |
\begin{align*}
y^{\prime \prime \prime \prime }&=\frac {1}{x^{3}} \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3196 |
\begin{align*}
x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+y^{\prime } x +y&=0 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3197 |
\begin{align*}
y^{\prime \prime \prime }&=3 \sin \left (x \right ) \\
y \left (0\right ) &= 1 \\
y^{\prime }\left (0\right ) &= 0 \\
y^{\prime \prime }\left (0\right ) &= -2 \\
\end{align*} |
✓ |
✓ |
✓ |
✓ |
0.216 |
|
| 3198 |
\begin{align*}
x^{\prime \prime \prime \prime }+8 x^{\prime \prime }+16 x&=0 \\
x \left (0\right ) &= 0 \\
x^{\prime }\left (0\right ) &= 0 \\
x^{\prime \prime }\left (0\right ) &= 0 \\
x^{\prime \prime \prime }\left (0\right ) &= 1 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.217 |
|
| 3199 |
\begin{align*}
y^{\prime }&=y \\
\end{align*} Series expansion around \(x=0\). |
✓ |
✓ |
✓ |
✓ |
0.217 |
|
| 3200 |
\begin{align*}
y^{\prime \prime }-2 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 2 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} Using Laplace transform method. |
✓ |
✓ |
✓ |
✓ |
0.217 |
|