Internal problem ID [7672]
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]
\[ \boxed {y^{\prime } x -y-\sin \left (x \right ) x^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(x*diff(y(x),x) - y(x) - x^2*sin(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (-\cos \left (x \right )+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.037 (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*}