Math Problem Statement
L inverse((p+1)/(p+4) * (1/p))
Solution
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Math Problem Analysis
Mathematical Concepts
Laplace Transform
Inverse Laplace Transform
Partial Fraction Decomposition
Exponential Functions
Formulas
Inverse Laplace of 1/p: L^{-1}(1/p) = 1
Inverse Laplace of 1/(p+a): L^{-1}(1/(p+a)) = e^{-at}
Partial fraction decomposition: (p+1)/(p(p+4)) = A/p + B/(p+4)
Theorems
Inverse Laplace Transform Theorem
Partial Fraction Decomposition
Suitable Grade Level
Undergraduate
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