Internal problem ID [4451]
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: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x +2 y-\frac {1}{x^{3}}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x)+2*y(x)=1/x^3,y(x), singsol=all)
\[ y \relax (x ) = \frac {-\frac {1}{x}+c_{1}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.044 (sec). Leaf size: 15
DSolve[x*y'[x]+2*y[x]==1/x^3,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {-1+c_1 x}{x^3} \\ \end{align*}