Internal problem ID [7833]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 253.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_rational, [_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {\left (y x^{2}-1\right ) y^{\prime }+8 x y^{2}-8=0} \end {gather*}
✗ Solution by Maple
dsolve((x^2*y(x)-1)*diff(y(x),x)+8*(x*y(x)^2-1)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(x^2*y[x]-1)*y'[x]+8*(x*y[x]^2-1)==0,y[x],x,IncludeSingularSolutions -> True]
Not solved