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For the differential equation $\frac{dy}{dx} = \sqrt{y^{2}-4}$ does the existence/uniqueness theorem guarantee that there is a solution to this equation through the point

1. $\left(-4,7\right)$ ?

2. $\left(3,-2\right)$ ?

3. $\left(-3,2\right)$ ?

4. $\left(0,13\right)$ ?

In order to get credit for this problem all answers must be correct.