Internal problem ID [7655]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 74.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-f \relax (x ) \left (y-g \relax (x )\right ) \sqrt {\left (y-a \right ) \left (y-b \right )}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x) - f(x)*(y(x)-g(x))*sqrt((y(x)-a)*(y(x)-b))=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x] - f[x]*(y[x]-g[x])*Sqrt[(y[x]-a)*(y[x]-b)]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved