Given y′=y2y' = y^2y′=y2 with y(0)=1y(0) = 1y(0)=1, what is the interval of existence for the solution?
x∈(−∞,1)x \in (-\infty, 1)x∈(−∞,1)
x∈[0,1)x \in [0, 1)x∈[0,1)
x∈(−1,∞)x \in (-1, \infty)x∈(−1,∞)
x∈(−∞,∞)x \in (-\infty, \infty)x∈(−∞,∞)