71.1.12 problem 26

Internal problem ID [14321]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 1. Introduction. Exercises page 14
Problem number : 26
Date solved : Tuesday, January 28, 2025 at 06:26:34 AM
CAS classification : [_quadrature]

\begin{align*} x y^{\prime }-\sin \left (x \right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

dsolve(x*diff(y(x),x)-sin(x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 23

DSolve[x*D[y[x],x]-Sin[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \int _1^x\frac {\sin (K[1])}{K[1]}dK[1]+c_1 \]