67.1.9 problem Problem 1(i)

Internal problem ID [13956]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 2, First Order Equations. Problems page 149
Problem number : Problem 1(i)
Date solved : Tuesday, January 28, 2025 at 06:09:40 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&=\ln \left (y x \right ) \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x)=ln(x*y(x)),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x]==Log[x*y[x]],y[x],x,IncludeSingularSolutions -> True]
 

Not solved