Internal problem ID [5409]
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]
\[ \boxed {y^{\prime } x -3 y-x^{4}=0} \]
✓ 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: 0.025 (sec). Leaf size: 13
DSolve[x*y'[x]-3*y[x]==x^4,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^3 (x+c_1) \\ \end{align*}