• Exam 4 will be on Tuesday, Dec. 6. It will cover
  • Laplace transform with piecewise defined functions
    You need to memorize the Laplace transforms of y'(t), y''(t), u_c(t)g(t), u_c(t)f(t-c).
    I will give you a table with the Laplace transforms of tⁿe^{a t}, e^{a t}cos(b t), e^{a t}sin(b t).
    (Dirac delta functions will not be on the exam)
  • Linear systems of ODEs: y' = A y
    Finding the general solution, solution of an initial value problem, classifying type and stability of the equilibrium point (0,0), sketching the phase portrait. (The case of two equal eigenvalues will not be on the exam.)