Internal problem ID [2855]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 4
Problem number: 106.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\sqrt {X Y}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x) = sqrt(X*Y),y(x), singsol=all)
\[ y \relax (x ) = \sqrt {X Y}\, x +c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 17
DSolve[y'[x]==Sqrt[ X Y],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x \sqrt {X Y}+c_1 \\ \end{align*}