Internal problem ID [2969]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 8
Problem number: 221.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {\left (x +1\right ) y^{\prime }-x^{3} \left (3 x +4\right )-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 15
dsolve((1+x)*diff(y(x),x) = x^3*(4+3*x)+y(x),y(x), singsol=all)
\[ y \relax (x ) = \left (x +1\right ) c_{1}+x^{4}+x +1 \]
✓ Solution by Mathematica
Time used: 0.043 (sec). Leaf size: 18
DSolve[(1+x) y'[x]==x^3(4+3 x)+y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^4+(4+c_1) x+4+c_1 \\ \end{align*}