60.1.47 problem 47

Internal problem ID [10061]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 47
Date solved : Monday, January 27, 2025 at 06:20:10 PM
CAS classification : [_Abel]

\begin{align*} y^{\prime }-a \left (x^{n}-x \right ) y^{3}-y^{2}&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x) - a*(x^n - x)*y(x)^3 - y(x)^2=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x] - a*(x^n - x)*y[x]^3 - y[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved