Internal problem ID [899]
Book: Elementary differential equations with boundary value problems. William F. Trench.
Brooks/Cole 2001
Section: Chapter 2, First order equations. Linear first order. Section 2.1 Page 41
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\left (\frac {1}{x}-1\right ) y=-\frac {2}{x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x) +(1/x-1)*y(x)=-2/x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{x} c_{1} +2}{x} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 17
DSolve[y'[x] +(1/x-1)*y[x]==-2/x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2+c_1 e^x}{x} \]