(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the below stated equations I need to find the exact polynomial given the initial condition.

y(0) = 1

y = 4*t*sqrt(y)

2. Relevant equations

3. The attempt at a solution

I simply disregard the initial value condition and get y = t^4

How can I find the fourth order polynomial with the given initial value?

( see also a former thread https://www.physicsforums.com/showthread.php?t=111094 )

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# First order ODE initial value problem

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