1.9 problem Problem 1(i)

Internal problem ID [12220]

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).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [`y=_G(x,y')`]

\[ \boxed {y^{\prime }-\ln \left (y x \right )=0} \]

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: 0.0 (sec). Leaf size: 0

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

Not solved