60.1.74 problem 74

Internal problem ID [10088]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 74
Date solved : Monday, January 27, 2025 at 06:25:57 PM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }-f \left (x \right ) \left (y-g \left (x \right )\right ) \sqrt {\left (y-a \right ) \left (y-b \right )}&=0 \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x] - f[x]*(y[x]-g[x])*Sqrt[(y[x]-a)*(y[x]-b)]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved