29.4.16 problem 105

Internal problem ID [4707]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 4
Problem number : 105
Date solved : Monday, January 27, 2025 at 09:32:43 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }+\left (f \left (x \right )-y\right ) g \left (x \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