Answer for the last box only please. Thanks
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Answer for the last box only please. Thanks Entered Answer Preview Result Y's+5°Y+2 Ys + 5Y...
please solve with steps and explain thanks Question 5 Given the differential equation y'' + 5y' + 4y = 0, y(0) = 2, y'(0) = 1 Apply the Laplace Transform and solve for Y(8) = L{y} Y(8) = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} g(t) =
Question 5 < > Given the differential equation y' + 5y' + 4y = 0, y(0) = 2, y'(0) = 1 Apply the Laplace Transform and solve for Y(8) = L{y} Y(s) = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} g(t) =
Entered Answer Preview (5-2+25)(s +10) (+25)s+2%-6) At least one of the answers above is NOT correct. (1 point) Consider the following initial value problem: Using Y for the Laplace transform of y(f), le..Y = L {y()). find the equation you get by taking the Laplace transform of the differential equation and solve for To find a solution to the IVP above, what steps must next be performed next? A. Take the derivative of Y(s). B. Plug in the given values...
Consider the initial value problem O if 0 t<3 y+5y={11 if 3 <5 if 5 t00, y(0) = 10 (a) Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y by Y. Do not move any terms from one side of the equation to the other (until you get to part (b) below). 11 A-3s)/5-11e-5s)/5+10 (S+5)Y (b) Solve your equation for Y Y =Lly) (c) Take...
Consider the following initial value problem. y′ + 5y = { 0 t ≤ 1 10 1 ≤ t < 6 0 6 ≤ t < ∞ y(0) = 4 (a) Find the Laplace transform of the right hand side of the above differential equation. (b) Let y(t) denote the solution to the above differential equation, and let Y((s) denote the Laplace transform of y(t). Find Y(s). (c) By taking the inverse Laplace transform of your answer to (b), the...
Please show work! Entered Answer Preview Result [u(21-5*s)/([(5-4) 2]* (e^20)) u(21 – 58) (s – 4)?e20 incorrect The answer above is NOT correct. (1 point) Find the Laplace transform F(s) of f(t) = e#-20u(t – 5) F(S) (u(21-5s))/((3-4)^2(e^(20)))
The following has 3 exercises and each exercise consists of multiple parts. please take into consideration all 3 exercises and answer each and every part of each exercise including the subquestions found in it!! Exercise 1 Find the Laplace transform of the following functions: 1. f(t) = 5t3e-46 2. f(t) = cos(26)U(t - T) 3. k(t) = {2-1, t<2 t> 2 4. f(t) = etsin (3) Exercise 2 Use Laplace transforms to compute the solution y(t) of the initial value...
Solve for Ys), the Laplace transform of the solution y(t) to the initial value problem below. y"' + 3y = 2+ y(O)=0. y'(O) = 0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) =
(1 point) Consider the initial value problem y"36y g(t), y(0) 0, /(0) 0, t if 0<t<5 0 if 5t<00. where g(t) create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from a. Take the Laplace transform of both sides the given differential equation one side of the equation the other (until you get to part (b) below). help (formulas) b. Solve your equation for Y(s). Y(s) C{y(t)} solve for y(t) c....
Take the Laplace transform of the following initial value problem and solve for Y(s)=L{y(t)}: y′′−5y′−24y=S(t) y(0)=0,y′(0)=0 Where S(t)={1, ,0≤t<1 0, 1≤t<2} S(t+2)=S(t) Y(s) = ?