Internal problem ID [121]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {3 y-y^{\prime } x=-x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(x^3+3*y(x)-x*diff(y(x),x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = \left (\ln \left (x \right )+c_{1} \right ) x^{3} \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 14
DSolve[x^3+3*y[x]-x*y'[x] == 0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^3 (\log (x)+c_1) \]