29.27.5 problem 771

Internal problem ID [5355]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 27
Problem number : 771
Date solved : Monday, January 27, 2025 at 11:17:02 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} {y^{\prime }}^{2}&=f \left (x \right )^{2} \left (y-u \left (x \right )\right )^{2} \left (y-a \right ) \left (y-b \right ) \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x)^2 = f(x)^2*(y(x)-u(x))^2*(y(x)-a)*(y(x)-b),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(D[y[x],x])^2==f[x]^2*(y[x]-u[x])^2*(y[x]-a)*(y[x]-b),y[x],x,IncludeSingularSolutions -> True]
 

Not solved