Solve the initial value problem below using the method of Laplace transforms. y" +9y=27t² - 54t+ 60, y(0) = 0, y'(0) = -3
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- Determine £-'{F}. 2 4s + 59s + 195 F(s) = (s + 6) (s + 3) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 2-'F) =Determine L^-1 {F}. F(s) = 8s³ - 8s² - 3s +6 / s^3 (S-2) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. £¯¹ {F} =Solve the initial value problem below using the method of Laplace transforms. w'' - 4w' + 4w=24t+28, w(-2)= -2, w'(-2) = 5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
- Find the Laplace transform of the equation: 7(t^5)-[e^(-6t)]cos(4t)+8sin(3t)-10Simplify answer.What is the Laplace transform of the fourth term?Solve the following equations show your solutions. 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1). 2. Find the area of the circle with center at (1, 3) and tangent to the line 5x - 12y - 8 = 0. 3. Determine the Inverse Laplace Transform of F(s) = (s + 2)(e^-s)/(s^2 + 4).Apply the translation theorem to find the inverse Laplace transform of the following function. F(s) = %3D 2s - 16 Click the icon to view the table of Laplace transforms. L-^{F(s)} =O (Type an expression using t as the variable.)
- pls solve the inverse laplace transform of this function. you can use the table of laplace transformations in answering this ((s-1)/(s^2 -2s +5))Find the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to the next ouestion.prevents changes to chis anaWerFind the Laplace transform of equation