Use Laplace transform to solve the following system of diffe

Use Laplace transform to solve the following system of differential equations. x\'(t) + 6y\'(t) - y(t) = 1, 8x\'(t) - 2y\'(t) = 0, x(0) = 2, y(0) = 0.

Solution

Use this code to run the solution on matlab:

syms s t x y X Y

f = 1

F = laplace(f,t,s)

X1 = sX - x(0)

Y1 = sY - y(0)

soln = solv(X1+6Y1-Y,8X1-2Y1,\'X\',\'Y\')

X=soln.X

Y=soln.Y

Sol = ilaplace(X,Y,s,t)