Solve the given initial value problem using the method of Laplace transforms. y'' + 7y' + +10y=tu(t-3); 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) =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.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).
- 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} =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))Solve the problem using Laplace transform
- Describe in your own words the method you would use to find the Laplace transform of the first derivative, i.e., . From 2 examples.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?Determine L'{F}. s+1 sF(s) – 3F(s) = 2 s* + 6s +9 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 1 L '{F} =