Question

Consider the following differential equation for A = 4 and B = 4: y''(t) + Ay'(t) + By(t) = 1u(t) + -1t u(t) where u(t) is the unit step function. Assume initial conditions: y'(0) = -4 y(0) = 2 Solve this differential equation to obtain an answer of the form shown below. Enter the value for the coefficient c3. Please enter your answer as a number in decimal format (not a fraction).

y(t) = co0(t) + Ga(t) + c2 ta(t) + ce-ata(t) + cạte-ata(t) Cate at +c5 cos(ot) u(t) + c6 sin(wot) u(t)

Answer 1

(o) = 2 2, Given A=4 , B-4 de auxili complan also 2t-

Here fit)- や0-2人 st- cott) 으악. 、

-华) 41 U- 幻 4 4t Hence Palanger