Have a system of first order differential equations:
x' = x-4y and y' x+y
x(0) = 3 and y(0)=-4
So i get the two equations:
sX(s) - x(0) = X(s) - 4Y(s)
and
sY(s) - y(0) = X(s) + Y(s)
By solving through and substituting:
Y(s) = 7/((s-1)^2+4 - 4s/((s-1)^2+4)
X(s) = 16/((s-1)^2+4)
Now i want to get these two equations in a form where i can imply the laplace transforms, any help would be great, sort of stuck with this denominator.
x' = x-4y and y' x+y
x(0) = 3 and y(0)=-4
So i get the two equations:
sX(s) - x(0) = X(s) - 4Y(s)
and
sY(s) - y(0) = X(s) + Y(s)
By solving through and substituting:
Y(s) = 7/((s-1)^2+4 - 4s/((s-1)^2+4)
X(s) = 16/((s-1)^2+4)
Now i want to get these two equations in a form where i can imply the laplace transforms, any help would be great, sort of stuck with this denominator.