# Solve the Differential Equation

Which of the following is a solution to the differential equation:

ylny + xy' = 0 for x > 0 ?

A. xlny = 1 B. xylny = 1 C. (lny)2 = 2

D. -y(lny)(lnx) = 1 E. lny + (x2/2)y = 1

https://brainmass.com/math/calculus-and-analysis/solve-differential-equation-33141

#### Solution Preview

The answer is A.

A. xlny=1, then (xlny)'=0, then lny+(x/y)y'=0. We multiply y on both sides and get

ylny+xy'=0. ...

#### Solution Summary

A Differential Equation is solved. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.

$2.19