8.6.1 problem 1

Internal problem ID [771]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Chapter 1 review problems. Page 78
Problem number : 1
Date solved : Monday, January 27, 2025 at 03:04:36 AM
CAS classification : [_linear]

\begin{align*} x^{3}+3 y-x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(x^3+3*y(x)-x*diff(y(x),x) = 0,y(x), singsol=all)
 

\[ y = \left (\ln \left (x \right )+c_1 \right ) x^{3} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 14

DSolve[x^3+3*y[x]-x*D[y[x],x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^3 (\log (x)+c_1) \]