What is a solution to the differential equation \frac{dy}{dx}=ky?

alahovom7ahc

alahovom7ahc

Answered question

2022-04-16

What is a solution to the differential equation dydx=ky?

Answer & Explanation

Marin Lowe

Marin Lowe

Beginner2022-04-17Added 18 answers

Assiuming k is just some constant, this is immediately separable
1yy=k
And
(1yy=k)dx
1ydy=kdx
ln|y|=kx+C
|y|=ekx+C=Cekx

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