Dy consider the differential equation 2x = o(x), x e r, satisfying y(0) = 0, where dx 0,xs0 x) = 1 x>0 this initial value problem (a) (b) (c) (d) has a continuo

dy Consider the differential equation 2x = o(x), x e R, satisfying y(0) = 0, where dx 0,xs0 x) = 1 x>0 This initial value problem (A) (B) (C) (D) has a continuous solution which is not differentiable at x = 0 has a continuous solution which is differentiable at x = 0 has a continuous solution which is differentiable on R does not have a continuous solution on R