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

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 Laplace transform.
b) Use the Final Value Theorem to determine ?(?) as ?→∞ from?(?).

Note: Dots denote differentiation with respect to time.

Expert Solution

milcah answered 2 years ago

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