29.4.17 problem 106

Internal problem ID [4708]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 4
Problem number : 106
Date solved : Monday, January 27, 2025 at 09:32:48 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\sqrt {X Y} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(diff(y(x),x) = sqrt(X*Y),y(x), singsol=all)
 

\[ y \left (x \right ) = \sqrt {X Y}\, x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 17

DSolve[D[y[x],x]==Sqrt[ X Y],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x \sqrt {X Y}+c_1 \]