Internal problem ID [2661]
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]
\[ \boxed {y^{\prime }+\frac {y}{x}=\cos \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x)+1/x*y(x)=cos(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sin \left (x \right ) x +\cos \left (x \right )+c_{1}}{x} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 18
DSolve[y'[x]+1/x*y[x]==Cos[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x \sin (x)+\cos (x)+c_1}{x} \]