- #1

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## Homework Statement

Solve the initial value problem where y(0) = 2.

## Homework Equations

dy/dt = 3 - 5(y^(1/2))

## The Attempt at a Solution

I tried the separable equation method but when it came time to take the integral of

1/[3 - 5(y^(1/2)], every solution I got became too complex to solve for y.

I'm thinking maybe you can just somehow put this into the linear form and use Leibniz's method by multiplying the equation by u(t) but I don't see how I can do this.

All I need is some info on how to make the integral simpler (so I can eventually solve for y) or how I can change this into linear form.