Solve the system of differential equations using Laplace transformation dx dy dt - x = 0,...
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 dx dt dx dt dt dt x(0) 0, y(o)0 x(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.
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 the given system of differential equations by systematic elimination dx 20y dt dy = X + Z dt dz = X + y dt (x(t), y(t), z(t))
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
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 given system of differential equations by systematic elimination. 2 dx/dt − 4x + dy dt = et dx/dt − x + dy dt = 3et
Solve the given system of differential equations by systematic elimination. = -x + 2 dx dt dy = -y + z dt dz = -x + y dt