Internal problem ID [2604]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, section 11, page 49
Problem number: 2(f).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 y-x^{3}-y^{\prime } x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (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: 0.026 (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*}