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Lengalicious

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## Homework Statement

For the following differential equation:

1) Provide the general solution

2) Discuss for which values of x the solution is defined.

3) Find the solution of the initial value problem y(0) = 3

## Homework Equations

dy/dx = (y+3)(y-5)

## The Attempt at a Solution

1) so I separate variables and get (1/8)*(log(y-5)-log(y+3)) = x + C after integration.

Now i need to solve for x right? How would I go about doing this? Can't seem to figure out how to rearange.

2) I don't think i can do this until i find the general solution? But once its found do i just find its domain?

3) For this i just substitute the initial values in, solve for C and then place back in equation?

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