What is the interval of existence for y′=1+y2,y(0)=0y' = 1+y^2, y(0)=0y′=1+y2,y(0)=0?
(−π/2,π/2)(-\pi/2, \pi/2)(−π/2,π/2)
(0,∞)(0, \infty)(0,∞)
(−∞,∞)(-\infty, \infty)(−∞,∞)
(−1,1)(-1, 1)(−1,1)