Internal problem ID [6304]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {2 y}{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(y(x),x) = 2*y(x)/x,y(x), singsol=all)
\[ y \relax (x ) = c_{1} x^{2} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 16
DSolve[y'[x] == 2*y[x]/x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x^2 \\ y(x)\to 0 \\ \end{align*}