Consider the following differential equations:
?3?/??3 + 9 ?2?/??2+ 20 ??/?? + 12? = 15
?(0) = ??(0) = ??(0) = 0
a) Find the solutions to the equation using Laplacetransform.
b) Use the Final Value Theorem to determine ?(?) as ???from?(?).
Note: Dots denote differentiation with respect to time.
