Problem 1d correction, hint
For part (d) of problem 1 of Hw#2, every instance of should be replaced by , so the wording should be changed to read: "Consider the case where and . Solve for , the normalized output of the oscillator, with initial conditions ."
If you've already solved it using instead of you will get equal credit (it is just a little bit more complex).
To solve this problem, you can use the "method of undetermined coefficients" (see, for example, http://www.efunda.com/math/ode/linearode_undeterminedcoeff.cfm) to solve for the steady-state frequency response solution. Then you can add to it a homogeneous solution that cancels the initial condition from the steady state so that the given initial conditions are satisfied. i.e., find from .
--Sawyer Fuller 00:32, 15 October 2007 (PDT)
[Category: CDS 101/110 FAQ - Homework 2]