Internal problem ID [3155]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 15
Problem number: 409.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {X^{\frac {2}{3}} y^{\prime }-Y^{\frac {2}{3}}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 14
dsolve(X^(2/3)*diff(y(x),x) = Y^(2/3),y(x), singsol=all)
\[ y \relax (x ) = \frac {Y^{\frac {2}{3}} x}{X^{\frac {2}{3}}}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 20
DSolve[X^(2/3) y'[x]== Y^(2/3),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x Y^{2/3}}{X^{2/3}}+c_1 \\ \end{align*}