Internal problem ID [8541]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 205.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, `2nd type`, `class A`]]
\[ \boxed {y y^{\prime }+a y=-\frac {\left (a^{2}-1\right ) x}{4}-b \,x^{n}} \]
✗ Solution by Maple
dsolve(y(x)*diff(y(x),x)+a*y(x)+(a^2-1)/(4)*x+b*x^n=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]+(a^2-1)/(4)*x+b*x^n==0,y[x],x,IncludeSingularSolutions -> True]
Not solved