7.7.1 problem 1

Internal problem ID [179]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Review problems at page 98
Problem number : 1
Date solved : Friday, February 07, 2025 at 08:01:28 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)
 

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 14

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

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