Internal problem ID [7785]
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]]
Solve \begin {gather*} \boxed {y y^{\prime }+a y+\frac {\left (a^{2}-1\right ) x}{4}+b \,x^{n}=0} \end {gather*}
✗ 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