Laplace transform of the unit step function y"+y= St/2, if 0 St<6, 13, if t > 6 y(0) = 6, y'(0) = 8
ſi, if 0 St<T, y" + 4y = 10, if a St< 0. y(0) = 0, y(0) = 0. 9
2y + y + 2y = g(t), (O) = 0, y'(0) = 0 where g) 5 St<20 10, 0<t<5 and t > 20
Engineering Analysis Q.1. f(t) = {S; if - 4 <t<o if 0 st <4 a) Sketch the function for 3 cycles [5 points ] b) Find the Fourier series for the function. [15 points)
Find the length of the curve r(t) =< 3cost, 3sint, 4t > for 1 st 57.
Find the Laplace transform of the function f(t). f(t) = sint if 0 St< $41; f(t) = 0 ift> 41 Click the icon to view a short table of Laplace transforms. F(s)=
x(0)=1, x'O)= 0, where f(t) = 1 if t< 2; and f(t) = 0 if Find the solution of X"' + 2x' + x=f(t), t> 2.
13. Given that f(t) has a discontinuity such as described below f(t) = t 0 st<5 f(t) = t 6 st Assume that the Unilateral Laplace transform obtained by integration is F(s). If one did the inversion either by integral or table to obtain f(t) what value would be returned ift= 5.5? Undefined 05 5.5 6 infinity answer not given
I need help with these Laplace problems:) (1 point) Find the Laplace transform of <9 f(t) = { 0, " I(t - 9)?, 129 F(s) = (1 point) Find the inverse Laplace transform of e-75 F(s) = 52 – 2s – 15 f(t) = . (Use step(t-c) for uc(t).) (1 point) Find the Laplace transform of 0. f(t) t<5 112 – 10t + 30, 125 F(s) =
Question 1 (20pts]: Let x(0) = 1-1.2 st <3 Question 1 120ntsl: Let (t) 1,0 Stsi her be a periodic signal with fundamental period 3. Calculate the Fourier Series coefficients of X(t), ax, by hand. Simplify your result as much as you can.