Math Problem Statement
مسئله 2b یک s هم در صورت دارد
Solution
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Math Problem Analysis
Mathematical Concepts
Laplace Transform
Inverse Laplace Transform
Exponential Function
Second Shift Theorem
Formulas
\( \mathcal{L}^{-1}\{e^{-as}F(s)\} = u(t-a)f(t-a) \)
\( \mathcal{L}^{-1}\left\{\frac{s}{(s^2 + 4)^2}\right\} = \frac{1}{8} \left( \sin(2t) - 2t \cos(2t) \right) \)
Theorems
Second Shift Theorem for Inverse Laplace Transform
Suitable Grade Level
Undergraduate
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