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  3. consider the following differential equations: ?3?

Consider the following differential equations: ?3?/??3 + 9 ?2?/??2 + 20 ??/?? + 12? = 15 ?(0) =...

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Basic Math

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.

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