Internal problem ID [148]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 28.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y+y^{\prime } x=2 \,{\mathrm e}^{2 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(y(x)+x*diff(y(x),x) = 2*exp(2*x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{2 x}+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.043 (sec). Leaf size: 17
DSolve[y[x]+x*y'[x] == 2*Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^{2 x}+c_1}{x} \]