alpha =5

1, Consider the initial value problem dy = y(2-3), y(1) = ? dr (a) Using ode15 approximate the value of y(3). (b) Use the command dsolve to obtain the general solution of this ODE and the particular solution of the initial value problem (c) Plot the directional field of this ODE with appropriate axis labels and title (12 marks) 2. Consider the initial value problem dx ay=-0.2x +1.7?, z(0)=2?, =0.6-1.2y, y(0)=? (a) Use the command ode45 to approximate the value of (1) and y(1). (b) Use thecomand dsolve to obtain the equations r(t) and y(t) that satisfy this initial value problem (c) Plot the phase portrait of the ODE