Internal problem ID [5456]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Section 1.7. Homogeneous Equations. Page
28
Problem number: 1(g).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x y^{\prime }-2 x +6 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 13
dsolve(x*diff(y(x),x)=2*x-6*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {2 x}{7}+\frac {c_{1}}{x^{6}} \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 17
DSolve[x*y'[x]==2*x-6*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2 x}{7}+\frac {c_1}{x^6} \\ \end{align*}