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## Homework Statement

The slope field for the equation [itex]\frac{dP}{dt} = 0.0333P(30−P)[/itex], for [itex]P\geq0[/itex], is shown below.

What is the equation of the solution to this differential equation that passes through (0,0)?

## The Attempt at a Solution

I'm completely clueless as to how this is to be done. I tried using separable differential equations to solve this, but it didn't give me the right answer as I submitted it, the the website (this question comes from my online homework) said it was wrong. I would like someone to give me a hint as to how to approach this problem, and then I'll proceed with my attempt, thanks.

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