
5s 2 The inverse Laplace transform of F(5)=22 -1) is 7e + 3et -5-2t 2 2...
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t - 5 sin(4t). Solution: 2. Find the inverse Laplace transform of F(s) = 7+ (8 + 4)(18 - 3s) (s - 3)(s – 1)(s + 4)" Solution:
7e 3s Find the inverse Laplace transform of F(s) $2 + 49 f(t) = Note: Use (u(t-a)) for the unit step function shifted a units to the right.
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
5. Find the inverse Laplace transform of H(s) = 5s? +21s +18 (s +1)(s+2)?
· Evaluate the following inverse Laplace transform 2-1 S 5s + 3 ) 1 s2 + 4s +5% ] Solve the following system of differential equations S x' – 4x + y" | x' + x + y = 0, = 0. Use the method of Laplace Transforms to solve the following IVP y" + y = f(t), y(0) = 1, y'(0) = 1, where f(t) is given by J21 0, t>1. f(t) = {t, Ost<1, PIC.COLLAGE
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.)
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
Find inverse laplace transform of f(t) f1t) - 5+2 5² (5+1) 2
Determine the inverse Laplace transform of the function below. 5s + 16 $? +45 +13 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 5s + 16 S +45 +13) 16