. consider the differential equation - 2x = o(x), x e r, satisfying y(0) = 0, where dx 0, xs0 ox)1 x>0 this initial value problem (a) has a continuous solution

. Consider the differential equation - 2x = o(X), x E R, satisfying y(0) = 0, where dx 0, xS0 OX)1 x>0 This initial value problem (A) has a continuous solution which is not differentiable at x = 0 (B) has a continuous solution which is differentiable at x = 0 (C) has a continuous solution which is differentiable on R (D) does not have a continuous solution on R