Please show the process used to solve, thanks!
Please show the process used to solve, thanks! Use partial fractions decomposition and the table of...
Use partial fractions to find the inverse Laplace transform of the following function. Fis)--3-9s2 Click the icon to view the table of Laplace transforms. (Type an expression using t as the variable.)
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...
question 2 Please show your steps for full or partial credit. Use any Laplace Table to solve the problems. 1. Given: ($) as+c, determine the time response solution. (3 pts) 2. Given: 8(x) – Ae*", find the Laplace Transform of f(x). (3 pts) 3. Given: x'+3x = 0, and x(0)=3, find the solution for x(t) using the Laplace Transform (4 pts)
Please only do d,h,i Thanks! a. c. 25.5. Using the tables and partial fractions, find the inverse Laplace transform for each of the following: 75+5 5-1 b. (8 + 2)(s - 1) 52 - 7s + 12 3s2 +65 +27 d. f. 53 +9s $3 - 452 54-81 582 + 6s - 40 253 +352 +2s +27 652 +62s +92 h. i. (s + 6) (s2 +16) (52 + 9) (52 + 1) (5 + 1) (52 + 108 +21)...
Please help solving all parts to this problem and show steps. (1 point) Use the Laplace transform to solve the following initial value problem: x' = 5x + 3y, y = -2x +36 x(0) = 0, y0) = 0 Let X(s) = L{x(t)}, and Ys) = L{y(t)}. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for YS) and X (s): X(S) = Y(s) = Find the partial fraction decomposition of X(s) and...
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
Show work please (1 point) Use Laplace transforms to solve the integral equation y(t) – v yết – U) do = 4. The first step is to apply the Laplace transform and solve for Y(s) = L(y(t)) Y(s) = Next apply the inverse Laplace transform to obtain y(t) y(t) =
Engineering analysis math class. Junior level. Only solve part a) thanks. 2. Find the inverse Laplace transform of the following using the partial fraction decomposition ing using the partial fraction decomp 53-6s-3 s3(s+1) s-2 b)
Find the following Inverse Laplace transformations. Use the Laplace Transform table attached in the next page. Show all your work, how to get partial fractions etc. and clearly state the Laplace rule(s) that you used in the related step from the attached Laplace Table. (?) ℒ −1 { ? 2−?+2 ?(?−3)(?+2) } (?) ℒ −1 { ? −? ? ? } (?) ℒ −1 { 1 ? 2−2?+1 }. Q1. (15 pts) Find the following Laplace transformations. Use the Laplace...
Question Use partial fractions to find the inverse Laplace transform of the function 11+ 3s 2 - 25 – 3 Select one: O a. -2e-+ 5e24 Ο b. 2e - 5e-t C. e - 3e-31 ΟΟΟ d. 2e-t -50 e. 24 +3e-