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​?