Solve y′=1+y2y' = 1 + y^2y′=1+y2 with y(0)=0y(0) = 0y(0)=0. What is the domain of existence?
(−∞,∞)(-\infty, \infty)(−∞,∞)
(−π/2,π/2)(-\pi/2, \pi/2)(−π/2,π/2)
(0,1)(0, 1)(0,1)
(−π/4,π/4)(-\pi/4, \pi/4)(−π/4,π/4)