Internal problem ID [2970]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 8
Problem number: 222.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (x +1\right ) y^{\prime }-\left (x +1\right )^{4}-2 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 18
dsolve((1+x)*diff(y(x),x) = (1+x)^4+2*y(x),y(x), singsol=all)
\[ y \relax (x ) = \left (\frac {1}{2} x^{2}+x +c_{1}\right ) \left (x +1\right )^{2} \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 22
DSolve[(1+x) y'[x]==(1+x)^4+2 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to (x+1)^2 \left (\frac {x^2}{2}+x+c_1\right ) \\ \end{align*}