Internal problem ID [2499]
Book: Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section: Exercises, page 14
Problem number: 1(g).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {y-2 x}{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 12
dsolve(diff(y(x),x)=(y(x)-2*x)/x,y(x), singsol=all)
\[ y \relax (x ) = \left (-2 \ln \relax (x )+c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 14
DSolve[y'[x]==(y[x]-2*x)/x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (-2 \log (x)+c_1) \\ \end{align*}