Question

Please answer parts c-d only.

4. In lab 4 we consider the differential equation y" 2yywyF(t) for different forcing terms F(t). In this problem we analyze this equation further using Laplace transforms 0, t<1 (a) Consider y" + y, +40y-1(t), where I(t)- t < 2. Find 1 1, 0. t>2 the forward transform Y-E(y) if y(0)-y(0)-0 (b) Solve y" + y, + 40y-1, y(0) = y'(0) = 0, using Laplace transforms Notice how the value of Y (s) you obtain differs from that you found in (a). Plot your solution for 0 ts5

Answer 1

Sol iven that , The ton o the forcirg trm at t 2 Teached a skeadj Stale ofter t2 sec because there is no 't' term in the soloton y'Co)- 8 lbj using laplace trons-sorms S FS)-

40 2 By*C (c). s 2 0 Y(s) oS s+5+4-0 2. 8-80-1 uo B# 79 4o