Internal problem ID [3583]
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]
\[ \boxed {2 x^{2} y^{\prime }-y=0} \]
✓ 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)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{-\frac {1}{2 x}} \]
✓ Solution by Mathematica
Time used: 0.025 (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*}