What is the interval of existence for the initial value problem dydx=y2,y(0)=1\frac{dy}{dx} = y^2, y(0) = 1dxdy=y2,y(0)=1?
(−∞,1)(-\infty, 1)(−∞,1)
(−1,∞)(-1, \infty)(−1,∞)
(−∞,0)(-\infty, 0)(−∞,0)
(−∞,1](-\infty, 1](−∞,1]