64.6.4 problem 4

Internal problem ID [13354]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 2, Miscellaneous Review. Exercises page 60
Problem number : 4
Date solved : Tuesday, January 28, 2025 at 05:31:36 AM
CAS classification : [_linear]

\begin{align*} x^{2}-2 y+x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 14

dsolve((x^2-2*y(x))+(x)*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.037 (sec). Leaf size: 16

DSolve[(x^2-2*y[x])+(x)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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