Calculus

Right now my class is working on exponential growth and decay. I know that i have to find the integral of both sides and solve for Y but I don't know how to do so exactly.
Here's the problem:
if dy/dx=3Y(10-Y)
integrate to solve for Y

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  1. y is the integral of dy/dx. I assume that all your y's should be lower case.

    You have a differential equation that can be solved by separation of variables.

    Integral of dy/[3y(10-y)] = x

    Do the integral and you will have an equation for x in terms of y. There will be an arbitrary constant in the answer, unless you integrate between specific limits and know an initial condition.

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