Consider the differential egquation - 2x = ộ(x), x e r, satistying y(0) = 0, whero dx ere 10. 0 x0 o, x .this initial value problemn o(x) 1, x>0 (a) has a conti

Consider the differential egquation - 2x = ộ(X), x E R, satistying y(0) = 0, whero dx ere 10. 0 x0 O, X .This initial value problemn o(X) 1, x>0 (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 cn R (D) does not have a continuous solution on R