MTH 256 Lecture Notes - Lecture 23: Piecewise, Step Function

• School: Oregon State University
• Department: Mathematics
• Course: MTH 256
• Professor: T. Hatase

Document Summary

=lhtt t t2 t3 if 0 t < 1. Somme as u if 1 t < 2. 1) ce - e) original if t 2. I ed - w t ) ) t. Replace t by tt2 fat e-sl ( http - htt. Est 8 tf ) i same as the unit step . Second shifting property: l (u(t r)g(t r)) = e srl (g(t)) ( e. We can use this to nd the inverse laplace transform. Iz so get t from table so get. It ) y s s2 + 1 e s/4 . Find l 1 1 ( it , )tl" ( e- =l s2 + 1 since ) t cos ( t. Uh - it) step function is from o to. = fish! see . unit step function turns on . A 1 kg mass is attached to a spring whose spring constant is k = 4.