Internal problem ID [3075]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 12
Problem number: 327.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {2 y^{\prime } x^{2}-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(2*x^2*diff(y(x),x) = y(x),y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{-\frac {1}{2 x}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 22
DSolve[2 x^2 y'[x]==y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{\left .-\frac {1}{2}\right /x} \\ y(x)\to 0 \\ \end{align*}