Internal problem ID [11638]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {3 y}{x}=6 x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x)+3*y(x)/x=6*x^2,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{6}+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.071 (sec). Leaf size: 15
DSolve[y'[x]+3*y[x]/x==6*x^2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^6+c_1}{x^3} \]