What is a solution to the differential equation # xy' = y#?
1 Answer
May 5, 2018
# y = Ax #
Explanation:
We have:
# xy' = y #
Which we can write as:
# 1/y dy/dx = 1/x #
Which is separable, so we can "separate the variables" to get:
# ln |y| = ln |x| + lnA #
So that:
# ln |y| = ln A|x| #
# :. y = Ax #
