Internal problem ID [2897]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 6
Problem number: 149.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x -\sin \relax (x ) x^{2}-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 12
dsolve(x*diff(y(x),x) = x^2*sin(x)+y(x),y(x), singsol=all)
\[ y \relax (x ) = \left (-\cos \relax (x )+c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 14
DSolve[x y'[x]==x^2 Sin[x]+y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (-\cos (x)+c_1) \\ \end{align*}