Internal problem ID [3969]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 25
Problem number: 723.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } \sqrt {y}=\sqrt {x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x)*sqrt(y(x)) = sqrt(x),y(x), singsol=all)
\[ y \left (x \right )^{\frac {3}{2}}-x^{\frac {3}{2}}-c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 20
DSolve[y'[x] Sqrt[Y]==Sqrt[X],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x \sqrt {X}}{\sqrt {Y}}+c_1 \]