Internal problem ID [12265]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 1. Introduction. Exercises page 14
Problem number: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x y^{\prime }=\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve(x*diff(y(x),x)-sin(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \operatorname {Si}\left (x \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 10
DSolve[x*y'[x]-Sin[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \text {Si}(x)+c_1 \]