According to the principle of mathematical induction when, can we say that a statemen X(n)is true for all natural numbers n?

According to the principle of mathematical induction when, can we say that a statemen X(n)is true for all natural numbers n?
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According to the principle of mathematical induction when, can we say that a statemen X(n)is true for all natural numbers n?
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According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the A differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is critically damped? ( A ) x = (A + Bt) e – ωt (B)x = X e – ξωt (sin ω d t + Φ) (C)x = (A – Bt) e – ωt ( D )x = X e – ξωt (cos ω d t + Φ

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According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equati damped free vibrations having single degree of freedom. What will be the solution to this differ equation if the system is critically damped? a. x = (A + Bt) e – ωt b. x = X e – ξωt (sin ω d t + Φ) c. x = (A – Bt) e – ωt d. x = X e – ξωt (cos ω d t + Φ)

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