50.3.5 problem 1(e)

Internal problem ID [7829]
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(e)
Date solved : Monday, January 27, 2025 at 03:24:22 PM
CAS classification : [_linear]

\begin{align*} 2 y-x^{3}&=x y^{\prime } \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

dsolve(2*y(x)-x^3=x*diff(y(x),x),y(x), singsol=all)
 

\[ y = \left (-x +c_{1} \right ) x^{2} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 15

DSolve[2*y[x]-x^3==x*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^2 (-x+c_1) \]