Internal problem ID [2894]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 5
Problem number: 146.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x -1-x^{3}-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 14
dsolve(x*diff(y(x),x) = 1+x^3+y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {1}{2} x^{3}-1+c_{1} x \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 18
DSolve[x y'[x]==1+x^3+y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^3}{2}+c_1 x-1 \\ \end{align*}