Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Control Systems
Laplace Transform
System Dynamics
Formulas
G(s) = Kp / (Ts + 1)
ΔX(t) = L^{-1} { ΔX(s) G(s) }
Y(s) = 50 / s(s+1)
Y = 50C + C'e^{-50t}
Theorems
Laplace Transform Theorem
Inverse Laplace Transform
System Response Theorems
Suitable Grade Level
Undergraduate - Control Systems Engineering
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