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

Eddie Clarke

Eddie Clarke

Answered question

2022-04-18

What is a general solution to the differential equation dydx=xey?

Answer & Explanation

resacarno4u

resacarno4u

Beginner2022-04-19Added 12 answers

This is a separable differential equation.
dydx=xey
dydx=x1ey
eydydx=x
eydy=xdx
eydy=xdx
ey=12x2+C
y=ln(12x2+C)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?