1.205 problem 206

Internal problem ID [7786]

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]]

Solve \begin {gather*} \boxed {y y^{\prime }+a y+b \,{\mathrm e}^{x}-2 a=0} \end {gather*}

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