36.2.26 problem 36 part(b)

Internal problem ID [6319]
Book : Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson 2018.
Section : Chapter 2, First order differential equations. Section 2.3, Linear equations. Exercises. page 54
Problem number : 36 part(b)
Date solved : Monday, January 27, 2025 at 01:56:25 PM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 16

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

\[ y \left (x \right ) = \frac {x^{6}+6 c_{1}}{6 x^{3}} \]

✓ Solution by Mathematica

Time used: 0.034 (sec). Leaf size: 19

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

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