Internal problem ID [3403]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 6
Problem number: 147.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x y^{\prime }-y=x^{m}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(x*diff(y(x),x) = x^m+y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{m}}{m -1}+c_{1} x \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 19
DSolve[x y'[x]==x^m+y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^m}{m-1}+c_1 x \]