Internal problem ID [2144]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential
Equations. page 59
Problem number: Problem 15.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {m y}{x}-\ln \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 34
dsolve(diff(y(x),x)+m/x*y(x)=ln(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {x \ln \relax (x )}{m +1}-\frac {x}{m^{2}+2 m +1}+x^{-m} c_{1} \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 29
DSolve[y'[x]+m/x*y[x]==Log[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x ((m+1) \log (x)-1)}{(m+1)^2}+c_1 x^{-m} \\ \end{align*}