Solve using Laplace Transforms
Subject to x(0)=0 y(0)=0
Okay. So I know that there are more efficient ways to solve this, but I missed the class in systems of Laplace Transforms and would like to get this resolved.
I guess my first question is what the first step is. Is it the same as any other kind of systems approach, that is, to find a multiplier that allows me to sum the two equations eliminating one of the variables?
I must assume this is the approach, but for some reason I am confused.
So I have:
I am looking in my text, I will come back to edit...
Okay. So all of the examples given only have one dependent variable, so bear with me.
Taking Laplace of each equation yields:
Applying initial values
I am assuming that this is the point where I eliminate? I also assume I should sort these first. Giving:
5*(5) and [s-1]*(6) yields
Adding (7) + (8) yields