Internal problem ID [3404]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 6
Problem number: 148.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x y^{\prime }+y=x \sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(x*diff(y(x),x) = x*sin(x)-y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-x \cos \left (x \right )+\sin \left (x \right )+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 19
DSolve[x y'[x]==x Sin[x]-y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\sin (x)-x \cos (x)+c_1}{x} \]