# calculus

Find the solution of the differential equation that satisfies the given initial condition.
dp/dt=2 sqrt(pt), P(1)=5

how is it wrong?

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1. dp/dt = 2√(pt)
dp/√p = 2√t dt
2√p = 4/3 t^(3/2) + c
p = (2/3 t^(3/2) + c)^2

Now plug in t=1 to find c.

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