Internal problem ID [8542]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 206.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, `2nd type`, `class A`]]
\[ \boxed {y y^{\prime }+a y=-b \,{\mathrm e}^{x}+2 a} \]
✗ Solution by Maple
dsolve(y(x)*diff(y(x),x)+a*y(x)+b*exp(x)-2*a=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x]*y'[x]+a*y[x]+b*Exp[x]-2*a==0,y[x],x,IncludeSingularSolutions -> True]
Not solved