• Exam 2 will be on Monday, Oct. 16. It will cover 2.7, 8.1, 8.2, 8.6, 3.1, 3.4, 3.5, 3.6. There will be problems of the following type:
  • For a 1st or 2nd order IVP, perform a step of the Euler method, or the Improved Euler method
  • For a 1st or 2nd order IVP, write a Matlab program which uses ode45 to plot the solution and print out an approximation for y(T)
  • For a 2nd order ODE     a y'' + b y' + c y = g
    • find the correct form of the particular solution Y(t) with undetermined coefficients, but DO NOT determine the coefficients
    • find the general solution
    • for given initial conditions find the solution of the IVP
• Assignment 2 is due Oct. 12 in the discussion session.
  Hints:
  • 2(a): For IEuler.m modify Euler.m:
    s1 = feval(f,t,y);
    s2 = feval(f,t+h,...);
    y = y + h*...
  • 3(a),(b): Use plot(ys(:,1),ys(:,2)) to make a phase plane plot.
    Download vectfield.m and read the instructions.