Please look at attached pdf. I have reworked the math and don't understand where I am incorrect.

 

ONE HALF FARAD?
ONE HENRY?

Those are some pretty large values. Are you sure of them? 1/2 farad is 500 milli-farads, or 500,000 µf (micro-farad).

A One Henry coil, that's going to be pretty fricken huge. Can you even fit one through the front door? The garage door?

Check your values again. "1 (omega)"? do you mean 1Ω? (and 2Ω)

 

I got: \(\frac{2}{s+5}\)

 

Where is R2?