hey,
i ran into more trouble doing this problem.
i have no idea whether my answer is right.
transformed equations as in earlier post eqn (1)
eqn (2)
Multiply equation 1 by to remove the on the RHS. eqn (1') Multiply equation 2 by s to remove the 's' on the RHS. eqn (2') equation 1' & 2' commonly factorized in terms of X ....
eqn(1') .....
eqn(2') To eliminate X from the pair of equations; eqn 2' is multiplied by (-s-1)
After further simplification
.....
eqn(2'') Now X can be eliminated, so subtract eqn (2'') from eqn (1') I don't know if this is right, after subtraction i got: Make Y the subject , which is the same as
Now using partial fractions
cross multiply
when s = 0, B=0 and A = 2 then when s =1, substitute in A =2 to find out B Taking the inverse laplace transform of the partial fraction:
Please check my steps, i hope it makes sense.
And i have no idea how to get
x(t), i keep coming to really complex equations.