1.38 problem 38

Internal problem ID [7354]

Book: First order enumerated odes
Section: section 1
Problem number: 38.
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),y(x), singsol=all)
 

\[ y \left (x \right ) = \operatorname {Si}\left (x \right )+c_{1} \]

Solution by Mathematica

Time used: 0.015 (sec). Leaf size: 10

DSolve[x*y'[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to \text {Si}(x)+c_1 \]