Find the general solution of the ode:
y' − e^y − 2xe^y = 0

The general solution of the ODE is .

Step-by-step explanation:

The given differential equation is

We need to find the general solution of the given ODE.

Use variable separable method to solve the above equation.

It can be written as

Separate the variables.

Integrate both sides.

Taking ln both sides.

Therefore the general solution of the ODE is .

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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