Internal problem ID [4975]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {3 y}{x}=x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (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: 0.026 (sec). Leaf size: 19
DSolve[y'[x]+3/x*y[x]==x^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{6}+\frac {c_1}{x^3} \]