MATH201 Lecture Notes - Lecture 10: Linear Algebra, System Of Linear Equations

• School: University of Alberta
• Department: Mathematics
• Course: MATH201
• Professor: van

Document Summary

Jan. 30, 2012: many examples here are taken from the textbook. If f (t) = c pm(t) ert, then. If f (t) = pm(t) e t cos t + qn(t) e t sin t, then. If f (t) = f1 +(cid:10) + fk with each fi of one of the above form, then nd yp i for each and set yp = yp1 +(cid:10) + yp k. Characteristic equation r2 r = 0(cid:20) r1 = 0, r2 = 1. First notice that f (t) = cos t + 1 is of the form f = f1 + f2 with y y = 0. Math 201 lecture 10: variation of parameters: find yp. yp1. yp1 is a particular solution to. Writing we see that y y = cos t. cos t = t0 e0t cos t. As i = 0 i = i does not appear in r1, r2, we have s = 0.