Consider the initial value problem below to answer to following. a) find the approximations to y(0.3) and y(0.6) using euler's method with time steps of upper delta t equals 0.3 comma 0.15 comma 0.075 comma and 0.0375. b) using the exact solution given, compute the errors in the euler approximations at tequals0.3 and tequals0.6. c) which time step results in the more accurate approximation? explain your observations. d) in general, how does halving the time step affect the error at tequals0.3 and tequals0.6?