Internal problem ID [3405]
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]
\[ \boxed {x y^{\prime }-y=x^{2} \sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(x*diff(y(x),x) = x^2*sin(x)+y(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (-\cos \left (x \right )+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 14
DSolve[x y'[x]==x^2 Sin[x]+y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x (-\cos (x)+c_1) \]