Internal problem ID [2152]
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 30.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {y}{x}-\cos \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve(diff(y(x),x)+1/x*y(x)=cos(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {\cos \relax (x )+\sin \relax (x ) x +c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 17
DSolve[y'[x]+1/x*y[x]==Cos[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \sin (x)+\frac {\cos (x)+c_1}{x} \\ \end{align*}