60.1.48 problem 48

Internal problem ID [10062]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 48
Date solved : Monday, January 27, 2025 at 06:20:13 PM
CAS classification : [_Abel]

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

✗ Solution by Maple

dsolve(diff(y(x),x) - (a*x^n + b*x)*y(x)^3 - c*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 + b*x)*y[x]^3 - c*y[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved