Internal problem ID [2131]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential
Equations. page 59
Problem number: Problem 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {2 y}{x}-5 x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve(diff(y(x),x)+2/x*y(x)=5*x^2,y(x), singsol=all)
\[ y \relax (x ) = \frac {x^{5}+c_{1}}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 15
DSolve[y'[x]+2/x*y[x]==5*x^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^5+c_1}{x^2} \\ \end{align*}