In Problems y = 1/(x 2 + c) is a one-parameter family of solutions of the first-order

Question:

In Problems y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. Give the largest interval I over which the solution is defined

1. y(2) = 1/3

2. y(-2) = ½

3. y(0) = 1

4. y(1/2) = -4