5s2 +5s + 12 (1 point) Consider the function F(s) - a. Find the partial fraction...
10s2s24 (1 point) Consider the function F(s) s3 4s a. Find the partial fraction decomposition of F(s) 10s2 s24 s3 4s b. Find the inverse Laplace transform of F(s). f(t) L1 F(s)} help (formulas)
(1 point) Consider the function 10s2 +3s 6 a. Find the partial fraction decomposition of F(s): 10%,+ 3s + 6 b. Find the inverse Laplace transform of F(s). help (formulas)
10s - 15 (1 point) Consider the function F(s) 52 – 38 + 2 a. Find the partial fraction decomposition of F(s): 10s - 15 $2 – 38 + 2 b. Find the inverse Laplace transform of F($). f(t) = { '{F()} = help (formulas)
s2+15 X(s) (s2+5s+ 6) (s2 +9) Find: (a) Use Partial Fractions Decomposition to write the rational function as the sum of simpler expressions (b) Obtain the time-domain solution, x(t), by finding the inverse Laplace Transform of X(s) f(t)) had initial conditions, x(0) 0 and (c) Consider the inverse question, if the ODE (ä + ax + bx = 1, what was the input function in the time domain, f(t) (0) s2+15 X(s) (s2+5s+ 6) (s2 +9) Find: (a) Use Partial...
(1 point) Find the Inverse Laplace transform f(t) = --! {F(s)) of the function F(s) 120 120 f(t) = -1 help (formulas)
(1 point) Find the inverse Laplace transform f(t) = 2" (F(s)} of the function F(s) = 2s 8²-1 (t) = -1 ^{}--G-- help (formulas)
Find the inverse Laplace transform of F(s) 393 +592 + 17s + 35 $4 + 13s2 + 36 (1) First find the partial fraction decomposition Cs + D F(s) As + B (s2 +9) + /(82 +9+ /(+ 4) (52 +4) (2) Next find the inverse Laplace transform f(t) =
3 (1 point) Find the inverse Laplace transform f(t) = --! {F(s)} of the function F(s) = - 25 32 +25 $2 + 16 f(t) = -1 e='{-6816+,725)} = help (formulas)
4. [20 points) Perform the appropriate partial fraction decomposition and then use the result to find the inverse Laplace transform of the function Y(s) = 420453. Hint: Write Y (8) = 4 + c
8 7. (1 point) Find the inverse Laplace transform f(t) = C-' (F(s)) of the function F(s) = $-2 10=c='{, *2 -3} - help (formulas)