3.2 problem Problem 2

Internal problem ID [2640]

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]

\[ \boxed {y^{\prime }+\frac {2 y}{x}=5 x^{2}} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 13

dsolve(diff(y(x),x)+2/x*y(x)=5*x^2,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {x^{5}+c_{1}}{x^{2}} \]

✓ Solution by Mathematica

Time used: 0.031 (sec). Leaf size: 15

DSolve[y'[x]+2/x*y[x]==5*x^2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^5+c_1}{x^2} \]