use Laplace transform to solve! 10. 0 , y"(0) 1 . 0 , y,(0) sin(3t) ,...
please solve with mathlab and post screenshots of the code 10.y" + 2y' +10y -6e sin(3t),y(0) 0,y'(0) 1 10.y" + 2y' +10y -6e sin(3t),y(0) 0,y'(0) 1
1. (5 points) Use a Laplace transform to solve the initial value problem: y' + 2y + y = 21 +3, y(0) = 1,5 (0) = 0. 2. (5 points) Use a Laplace transform to solve the initial value problem: y + y = f(t), y(0) = 1, here f(0) = 2 sin(t) if 0 Str and f(0) = 0 otherwise.
10. Solve the initial value problem using Laplace transform ( 14 points) y" + 4y = 2 sin(3t) with y(0) = 1 and y'(0) = 1
10. Use the Laplace transform to solve y" - 3y' +2y f(t), y(0)-0,'(0) 0, where (t)-(0 for 0 st < 4; for t 2 4 No credit will be given for any other method. (10 marks)
2. Use the Laplace transform to solve Y" – 2y = 2 y(0) = 0, y'(0) = 0
1. Solve the differential equation using the Laplace Transform. y" + y = V2 sin(V2t), y(0) = 10, y'(0) = 0
Using Laplace Transform (LT) and Inverse Laplace Transform (LT) solve the following system of equations: 1. X'=- 2x + 5oy y' = x - y With x(0) = 25, and y(0) = 0 2. x' + 4x - y = 7t x' + y' - 2y = 3t With x(0) = 1, and y(0) = 0
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' + 2y = 2t4, y(0) = 0, y'(0) = 0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) = Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -7y' + 12y = 3t e 3t, y(0) = 4, y'(0) = -1 Click...
Page 4 IV. (10) Use the Laplace transform to solve the IVP y" - 2y + y = f(t), y(0) = 1, 7(0) = 1, where t<3 f(t) = t-3, t3 You may use the partial fraction decomposition 70-28+1) -1,2 = (+*++* - , but you need to show all the steps needed to arrive to the expression (+28+1) in order to receive credit.
Use Laplace Transform to solve the following Differential Equations a) y - 2 sin(5t) = y, y(0) = 0