3.7 problem 1(g)

Internal problem ID [5410]

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]

Solve \begin {gather*} \boxed {x y^{\prime }-3 y-x^{4}=0} \end {gather*}

Solution by Maple

Time used: 0.015 (sec). Leaf size: 11

dsolve(x*diff(y(x),x)-3*y(x)=x^4,y(x), singsol=all)
 

\[ y \relax (x ) = \left (x +c_{1}\right ) x^{3} \]

Solution by Mathematica

Time used: 0.042 (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*}