20.3.2 problem Problem 2

Internal problem ID [3611]
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
Date solved : Monday, January 27, 2025 at 07:47:36 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }+\frac {2 y}{x}&=5 x^{2} \end{align*}

✓ Solution by Maple

Time used: 0.001 (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: 0.027 (sec). Leaf size: 15

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

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