What is the interval of existence for the solution of y′=y2y' = y^2y′=y2 with y(0)=1y(0) = 1y(0)=1?
(−∞,∞)(-\infty, \infty)(−∞,∞)
(−∞,1)(-\infty, 1)(−∞,1)
(−1,∞)(-1, \infty)(−1,∞)
(0,1)(0, 1)(0,1)