60.1.205 problem 206

Internal problem ID [10219]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 206
Date solved : Monday, January 27, 2025 at 06:39:42 PM
CAS classification : [[_Abel, `2nd type`, `class A`]]

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

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[y[x]*D[y[x],x]+a*y[x]+b*Exp[x]-2*a==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved