Internal problem ID [3660]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 14
Problem number: 406.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime } \sqrt {X}-\sqrt {Y}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x)*sqrt(X) = sqrt(Y),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sqrt {Y}\, x}{\sqrt {X}}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 20
DSolve[y'[x] Sqrt[X]==Sqrt[Y],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x \sqrt {Y}}{\sqrt {X}}+c_1 \]