Solve the following differential equations: \frac{dy}{dx}=\frac{x-e^{-x}}{y+e^{y}}

mattgondek4

mattgondek4

Answered question

2021-02-27

Solve the following differential equations:
dydx=xexy+ey

Answer & Explanation

Obiajulu

Obiajulu

Skilled2021-03-01Added 98 answers

Step 1
Given
dydx=xexy+ey
To Find- The value of the above differential equations.
Step 2
Explanation- Rewrite the given expression,
dydx=xexy+ey
Simplifying the above expression and integrating both sides, we get,
(y+ey)dy=(xex)dx
y22=ey=x22+ex+C
y22x22+eyex=C
Answer- Hence, the solution of the differential equation dydx=xexy+ey is
y22x22+eyex=C.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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