64.5.1 problem 1

Internal problem ID [13314]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 2, section 2.3 (Linear equations). Exercises page 56
Problem number : 1
Date solved : Tuesday, January 28, 2025 at 05:21:54 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }+\frac {3 y}{x}&=6 x^{2} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(diff(y(x),x)+3*y(x)/x=6*x^2,y(x), singsol=all)
 

\[ y = \frac {x^{6}+c_{1}}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 15

DSolve[D[y[x],x]+3*y[x]/x==6*x^2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^6+c_1}{x^3} \]