60.1.204 problem 205

Internal problem ID [10218]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 205
Date solved : Monday, January 27, 2025 at 06:39:39 PM
CAS classification : [_rational, [_Abel, `2nd type`, `class A`]]

\begin{align*} y^{\prime } y+a y+\frac {\left (a^{2}-1\right ) x}{4}+b \,x^{n}&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[y[x]*D[y[x],x]+a*y[x]+(a^2-1)/(4)*x+b*x^n==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved