Internal problem ID [7714]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 135.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } x^{2}-y \left (-1+x \right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(x^2*diff(y(x),x) - (x-1)*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{\frac {1}{x}} x \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 19
DSolve[x^2*y'[x] - (x-1)*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{\frac {1}{x}} x \\ y(x)\to 0 \\ \end{align*}