true ir false. PLEASE answer asap! 1. If () is defined for t > 0, then...
2t +1 if 0 <t< 2 Consider f(t) = { | 3t if t > 2. (a) Use the table of Laplace transforms directly to find the Laplace transform of f. (b) Express f in terms of the unit step function, then use Theorem 6.3.1 to find the Laplace transform of f.
QUESTION 3 After use Laplace Transform to transform the following initial value problem X" +x=e-t, x(0) = 1,x'(0) = 1, S-2 you should get X(s)= (write fraction as (S-2)/(5-4)(8+6) for -). Then, find (s-4)(8+6) x(t)= L-?{X(s)}= (write 5/6 by 5 -30 6' e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
for part A which answer is correct? The given function is... cos(t) f(t) t We know that the laplace transform of f(t) is given by... Rel(s)> 0 s21 LIf()) Also we know that... f(t) L[ t Lf(lds ds s21 = [In(s2 1) Problem is done cos(t) x(t) t tx(t) cos(t)ut) dX(s) tx(t) ds s2 ds X(s) s2 In(s21) K X(s) = 2 x(t)e dt X(s) -00 X(0) x(t)dt -00 cos(t) dt 0 t -00 K 0 In(s21 X(s) 2 Use...
Hollie work #2 (Due April 1 δ) Problem Obtain the Laplace transform of each of the following functions: 2t (a) et cos 3tu(t) (c) e3 cosh 2tu(t) (e) te sin 2tu(t) (b) e2t sin 4tu(t) (d) e4 sinh tu(t) Problem 2. Find the Laplace transform of each of the following functions (b) 3f* e^ut) (c) 2n1(t)-4". δ(t) (e) 5u(t/2) (d) 2e) u(t) 2p-(t-1) (f) 6el3 u(t) d" dt" Problem 3. Find the Laplace transform of the following signals (a) f(t)-(2t...
(write After use Laplace Transform to transform the following initial value problem x" + 3x' + 2x=2e-t, x(O) = x'(0)=0, you should get X(s)= S-2 fraction as (S-2)/(S-4)(s+6) for (s-4)(3+6) -). Then, find x(t) = L-2(x(s)= 5 (write 5/6 by 6 -3t e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
The following IVP will be used for Question 1 and Question 2 on this quiz. Solve the initial value problem using the method of Laplace Transforms. y' - y' = 6x y(0) = 2,y'(0) = -1 The solution will be accomplished through answering the two questions below. In using the Laplace Transform to solve the above IVP, solving for Y(s) gives Y(8) = Y(s) = + 8+3 $-2 s-2 Y(s) – + 5 $+2 8-3 3 5 Y(s) = +...
QUESTION 2 use to the following initial value problem (write fraction as (s- After Laplace Transform transform x" + 2x' +x=3, x(O)=0,x'(0)=1, you should get X(s)= S-2 2)/(S-4)(s+6) for (s-4)(8+6) -). Then, find x(t)= L-(x(s))= 5 -3t (write 5/6 by 6' e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
determine Laplace transform of a-d (a) f(1) = (1 - 4)u(t - 2) (b) g(t) = 2e-4eu(t - 1) (c) h(t) = 5 cos(2t - 1)u(t) (d) p(t) = 6[u(t - 2) - ut - 4)]
(write fraction as After use Laplace Transform to transform the following initial value problem rret, x(O)= 1,x'(0)=1, you should get X(s)= S-2 (S-2)/(5-4)(8+6) for -). Then, find x(t) = L-?{x(s)}= (s – 4)(s+6) 5 -3t (write 5/6 by 6' , e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
QUESTION 1 use to following initial value problem (write fraction as After Laplace Transform transform the x" + 3x' + 2x=2e-t, x(0) = x'(0)=0, you should get X(s)= S-2 (S-2)/(5-4)(s+6) for (s-4)(s+6) -). Then, find x(t)= L-(x(s))= 5 -3t (write 5/6 by 6' ; e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).