· Evaluate the following inverse Laplace transform 2-1 S 5s + 3 ) 1 s2 +...
Determine the inverse Laplace transform of the function below. -5s Se $2 + 4s + 13 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. -5s se (t) +48 + 13 (Use parentheses to clearly denote the argument of each function.) s2+
Determine the inverse Laplace transform of the function below. 5s Se s? + 85 + 25 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - 5s se 8-1 >(t) = 2 S' + 8s + 25 (Use parentheses to clearly denote the argument of each function.)
Determine the inverse Laplace transform of the function below. -5s se s? + 25 + 17 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. -5s Se -1 L (t) = + 25 + 17 (Use parentheses to clearly denote the argument of each function.)
1. (10 points) Find the inverse Laplace transform of the following: 85 - 4s +12 s? +45-5 b. F(x) = s(s? +2s + 5) 2. (10 points) Determine if the following differential equation is exact. Be sure give a reason for why or why not. If it is exact, solve it. (xy? + 3x y)+(x° +xºy)y'=0 a. F(s)= (1-25)e-
Using Laplace Transform (LT) and Inverse Laplace Transform (LT) solve the following system of equations: 1. X'=- 2x + 5oy y' = x - y With x(0) = 25, and y(0) = 0 2. x' + 4x - y = 7t x' + y' - 2y = 3t With x(0) = 1, and y(0) = 0
(1 point) Use the Laplace transform to solve the following initial value problem x, = 10x + 4y, y=-6x + e4, x(0) = 0, y(0) = 0 Let x(s) L {x(t)) , and Y(s) = L {y(t)) Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s): S)E Y(s) = Find the partial fraction decomposition of X(s) and Y(s) and their inverse Laplace transforms to find the solution of the...
Determine the inverse Laplace transform of the function. 3s-72/5s^2-40s+160 Determine the inverse Laplace transform of the function below. 3s - 72 5s2 - 40s + 160 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms. -1 35 - 72 15s2 - 40s + 160
Determine the inverse Laplace transform of the function below. Se -45 s2 + 10s + 50 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 4s Se 2-1 s2 (t) = + 10s + 50 (Use parentheses to clearly denote the argument of each function.)
Find the inverse Laplace transform of each of the following functions. a. F(s) = 5 $4(s2 + 4) t f(t) = 2*4{F($)}(6) = dw b. G(s) = 4s (s + 5)2( 32 +81) g(t) = •{F()}(t) = dw
9. (15 points) Compute the inverse Laplace transform of each of the following functions: 5s a) F(s) = (8-2)(8 +3) 3(8-2) 82 4s + 9 b) G(8) = e-3