80.4.2 problem 2

Internal problem ID [18553]
Book : Elementary Differential Equations. By Thornton C. Fry. D Van Nostrand. NY. First Edition (1929)
Section : Chapter IV. Methods of solution: First order equations. section 31. Problems at page 85
Problem number : 2
Date solved : Tuesday, January 28, 2025 at 11:58:10 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

dsolve(diff(y(x),x)+y(x)/x=sin(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: 0.030 (sec). Leaf size: 19

DSolve[D[y[x],x]+y[x]/x==Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {\sin (x)-x \cos (x)+c_1}{x} \]