Internal problem ID [6601]
Book: First order enumerated odes
Section: section 1
Problem number: 38.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime } x -\sin \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve(x*diff(y(x),x)=sin(x),y(x), singsol=all)
\[ y \relax (x ) = \sinIntegral \relax (x )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 10
DSolve[x*y'[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \text {Si}(x)+c_1 \\ \end{align*}