Internal problem ID [6163]
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(g).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {-3 y+y^{\prime } x=x^{4}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 11
dsolve(x*diff(y(x),x)-3*y(x)=x^4,y(x), singsol=all)
\[ y \left (x \right ) = \left (x +c_{1} \right ) x^{3} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 13
DSolve[x*y'[x]-3*y[x]==x^4,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^3 (x+c_1) \]