Consider the differential equation dy/dt = −2ty2. (a) Calculate its general solutio...

Consider the differential equation dy/dt = −2ty².

(a) Calculate its general solution.

(b) Find all values of y₀ such that the solution to the initial-value problem

does not blow up (or down) in finite time. In other words, find all y₀ such that the solution is defined for all real t .