What is a solution to the differential equation \frac{dy}{dx}=e^{x-y}?

Cash Duncan

Cash Duncan

Answered question

2022-04-18

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

Answer & Explanation

abangan85s0

abangan85s0

Beginner2022-04-19Added 16 answers

Explanation:
dydx=exy
=exey we can separate it!
eydydx=ex
eydydxdx=exdx
eydy=exdx
ey=ex+C
ln(ey)=ln(ex+C)
y=ln(ex+C)

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