29.15.14 problem 422

Internal problem ID [5020]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 15
Problem number : 422
Date solved : Monday, January 27, 2025 at 10:03:56 AM
CAS classification : [[_Abel, `2nd type`, `class A`]]

\begin{align*} y^{\prime } y+f \left (x \right )&=g \left (x \right ) y \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[y[x] D[y[x],x]+f[x]==g[x] y[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved