Internal problem ID [3151]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 14
Problem number: 405.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime } \sqrt {X}+\sqrt {Y}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)*sqrt(X)+sqrt(Y) = 0,y(x), singsol=all)
\[ y \relax (x ) = -\frac {\sqrt {Y}\, x}{\sqrt {X}}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 21
DSolve[y'[x] Sqrt[X]+Sqrt[Y]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {x \sqrt {Y}}{\sqrt {X}}+c_1 \\ \end{align*}