What is a solution to the differential equation xy'=y?

Bryant Jacobs

Bryant Jacobs

Answered question

2022-04-16

What is a solution to the differential equation xy'=y?

Answer & Explanation

fallendreamsit2p

fallendreamsit2p

Beginner2022-04-17Added 14 answers

We have:
xy'=y
Which we can write as:
1ydydx=1x
Which is separable, so we can "separate the variables" to get:
ln|y|=ln|x|+lnA
So that:
ln|y|=lnA|x|
y=Ax

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