Internal problem ID [4455]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.3, Linear equations. Exercises. page
54
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x +3 x^{2}+3 y-\frac {\sin \relax (x )}{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(x*diff(y(x),x)+3*(y(x)+x^2)=sin(x)/x,y(x), singsol=all)
\[ y \relax (x ) = \frac {-\frac {3 x^{5}}{5}-x \cos \relax (x )+\sin \relax (x )+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.069 (sec). Leaf size: 31
DSolve[x*y'[x]+3*(y[x]+x^2)==Sin[x]/x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-3 x^5+5 \sin (x)-5 x \cos (x)+5 c_1}{5 x^3} \\ \end{align*}