15.14 problem 422

Internal problem ID [3168]

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]]

Solve \begin {gather*} \boxed {y y^{\prime }+f \relax (x )-g \relax (x ) y=0} \end {gather*}

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