55.1.3 problem HW 1 problem 7(a)

Internal problem ID [8699]
Book : Selected problems from homeworks from different courses
Section : Math 2520, summer 2021. Differential Equations and Linear Algebra. Normandale college, Bloomington, Minnesota
Problem number : HW 1 problem 7(a)
Date solved : Monday, January 27, 2025 at 04:19:34 PM
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)
 

\[ y = \frac {x^{5}+c_{1}}{x^{2}} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 15

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

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