Exam 2 problem list for Friday April 3

Problem 1. Steady state solution.

Problem 2. Solving nth order differential equations. Shortest trial solution in the method of undetermined coefficients.

Problem 3. Laplace theory. Shifting theorem, s-differentiation theorem, forward and backward table.

Problem 4. Laplace's method. Solve a scalar equation. Solve a system of equations.

Problem 5. Compute the Laplace of f(t) using the shifting theorem, s-differentiaion theorem, and the final value theorem: limit F(s)=0 at s=infinity.

Problem 6. Compute a 2x2 exponential matrix. Apply the Cayley-Hamilton-Ziebur shortcut for a 2x2 system (see sample exam problem 8, edit 2 April). Solve a 2x2 system by the eigenanalysis method.