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## Homework Statement

Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y

_{0}.

y' = -4t/y, y(0) = y

_{0}

## Homework Equations

## The Attempt at a Solution

I solved the DE and got to:

y = +/- sqrt(C - 4t^2)

Plugging in y_0 for y when t = 0, I get:

y = +/- sqrt( (y_0)^2 - 4t^2 )

I'm pretty sure this is the right, but how do I answer the last part of the question? Figuring out the how the interval depends on initial value? thanks