Internal problem ID [2900]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 6
Problem number: 152.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime } x -a y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(x*diff(y(x),x) = a*y(x),y(x), singsol=all)
\[ y \relax (x ) = c_{1} x^{a} \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 16
DSolve[x y'[x]==a y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x^a \\ y(x)\to 0 \\ \end{align*}