Internal problem ID [4467]
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: 36 part(b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {3 y}{x}-x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 15
dsolve(diff(y(x),x)+3/x*y(x)=x^2,y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {x^{6}}{6}+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 19
DSolve[y'[x]+3/x*y[x]==x^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^3}{6}+\frac {c_1}{x^3} \\ \end{align*}