Internal problem ID [3363]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 4
Problem number: 105.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {y^{\prime }+\left (f \left (x \right )-y\right ) g \left (x \right ) \sqrt {\left (y-a \right ) \left (y-b \right )}=0} \]
✗ 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