3. Use method of residues to calculate inverse Laplace Transform of the following: s4-2s+1 s2 (s2+4)...
Find the inverse Laplace transform a . 3 s4 - 2s s2 (3s2 + 4) 3 S4 – 25 (s + 1)(3s2 + 4s + 2) b.
Determine the inverse Laplace transform of the function below. Se - 2s S2 + 8s +32 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - 2s Se - 1 >(t) = $2 +85 +32 (Use parentheses to clearly denote the argument of each function.)
Find Inverse Laplace Transform 2s +1 (C) L-I{ s2 + 6s + 25
· 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
this is E-math class 4. Find the inverse Laplace Transform of 2s +3 2+2s+5 Y (s)
A signal x(t) has the following Laplace transform X(s)= 2s+4 $2+45+5 Get x(t) (inverse Laplace Transform) (assume x(t)=0 for t<0) Answer:
QUESTION 24 Find the inverse Laplace transform of the following function. F(S) = s2-35 s4+10s2 +9 (3cos (3t)+sin (3t) -3cost-sint) B. (cos (3t)+sin (3t) -3cost-3sint) (cos (3t) +3sin (3t) -3cost-sint) (3 cos (3t) +3sin (3t) - 3 cost-sint) 1 E. (3 cos (3t) +sin (3t) -3cost-3sint)
1.Find the inverse Laplace transform 2. Use the method of variation of parameters to find the general solution of the system e -TTS F(s) = s(S2 + 1) x'= ( 2.)x+{2}') = Ax+ g(0)
determine inverse Laplace transform of a-c 10s (a) (s + 1)(s + 2)(s + 3) 2s+ 4s + 1 (b) (s + 1)(s + 2) s +1 (c) (s + 2)(s? + 2s + 5)
Q2 [20 pts]: Find the inverse Laplace transform of each of the following functions. 2s +3 (a) F(S) = 53 +45 (b) F($) = 52 - 68 + 13