Internal problem ID [7673]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 92.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x y^{\prime }-y-x^{2} \sin \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 12
dsolve(x*diff(y(x),x) - y(x) - x^2*sin(x)=0,y(x), singsol=all)
\[ y \relax (x ) = \left (-\cos \relax (x )+c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 14
DSolve[x*y'[x] - y[x] - x^2*Sin[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (-\cos (x)+c_1) \\ \end{align*}