9. Use the Laplace transform to solve the system dx -xty dt dy dt x(0) =...
7. Use the Laplace transform to solve the system dx dt -x + y dy = 2x dt x(0) = 0, y(0) = 1
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) =
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
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
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) =
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.
(Hint: Laplace transform) 4) Solve the non con-homogeneous system dx at = 2X + 1 dy = x+2y yco)=1 20-2
Use the Laplace transform to solve dy cost + So y(t) cos(t – t)dt, y(0) = 1 dt
4) Solve for x(t)n using Laplace transform: dx dt + 2x = 6 where x(0)=-5 Highlight the transient responce
solve the following using laplace transform dy dt 3y(t) = e4t; y(0) = 0