Internal problem ID [5408]
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 1.4 First Order Linear Equations. Page
15
Problem number: 1(e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 y-x^{3}-x y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve(2*y(x)-x^3=x*diff(y(x),x),y(x), singsol=all)
\[ y \relax (x ) = \left (c_{1}-x \right ) x^{2} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 15
DSolve[2*y[x]-x^3==x*y'[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^2 (-x+c_1) \\ \end{align*}