Conditions: (5 marks) consider the following differential equation and associated initial -1/v = 21, with y(0) = 1 and y(0) = 0. (a) rewrite the above differential equation as a system of two ordinary differential equations with associated initial conditions for each of the variables in the system. (b) are there any intervals for which the conditions for the existence-uniqueness theorem for systems of equations are not satisfied for the differential equation and its associated system) here? if so, identify the key elements of such intervals, along with the conditions that are violated.