Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y0.
y' = -4t/y, y(0) = y0
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