2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1 2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1
Solve the system of differential equations using Laplace transformation dx dy dt - x = 0, + y = 1, x(0) = -1, y(0) = 1. dt You may use the attached Laplace Table (Click on here to open the table) Paragraph В І
use the Laplace transform to solve the given system of differential equations dx dt dx dt dt dt x(0) 0, y(o)0 x(t) =
Use the Laplace transform to solve the given system of differential equations. Use the Laplace transform to solve the given system of differential equations. of + x - x + y = 0 dx + dy + 2y = 0 x(0) = 0, y(0) = 1 Hint: You will need to complete the square and use the 1st translation theorem when solving this problem. x(t) = y(t) =
9. Use the Laplace transform to solve the system dx -xty dt dy dt x(0) = 0, y(0) = 1 = 2x
7. Use the Laplace transform to solve the system dx dt -x + y dy = 2x dt x(0) = 0, y(0) = 1
Solve each of the following differential equations using the Laplace Transform approach and plot the response of the system to the given change in u(). (Linearize where necessary) dy ch + 2 t-0
Solve the system of differential equations dx/dt = x-y, dy/dt = 2x+y subject to the initial conditions x(0)= 0 and y(0) = 1.
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t) 1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
Solve the following IVPs using Laplace Transform: 1) dy dt 3y(t) = e4t; y(0) = 0
please solve both 1&2 Solve the following differential equations using the Laplace transform method 1. x" + 4x = t, x(0) = 0, x'(0) = 1. 2. x" + 2x' + x = t?, x(0) = 0, x'(0) = 1