Internal problem ID [3676]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 15
Problem number: 422.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, `2nd type`, `class A`]]
\[ \boxed {y y^{\prime }-g \left (x \right ) y=-f \left (x \right )} \]
✗ Solution by Maple
dsolve(y(x)*diff(y(x),x)+f(x) = g(x)*y(x),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x] y'[x]+f[x]==g[x] y[x],y[x],x,IncludeSingularSolutions -> True]
Not solved