Question

Af(t) Use the method of Laplace transforms and the accompanying proof results to solve the initial value problem y" + 3y' + 2y = f(t); y(0)= 0, y'(0)=0 Here, f(t) is the periodic function defined in the graph to the right. Click the icon to review the results of a proof. Square wave Choose the correct answer to the initial value problem below. O A. y(t) = {(1-c-12 OB. y(t) = (1 + e -21) (t + 1)(t+2) 00 O C. y(t) == § (1-6-18-4n))2u(t - 40) n = 0 00 OD. y(t) =-(-1)"(1-e - (t2n)) ?uſt - 2n) n=0

Answer 1

biven that Gosaph, of periodic function 2. T 6 ra o square wave Here, the the time period fildet) - u (et-Tb) and f(S) = LSS, (A)? T-s laplave en ► y" + 3y' + ay-s), 90=0, y1CO) = 0 taking SPYCS) -- SYO-Y!(0)+ 3 [S Y ) - YO)] f2Y(S) = L[ults - U (A-2] { foron a (52+35+2) Y( cas Jolens) S