Recent content by razorfever

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    How Do You Solve a Damped Harmonic Oscillator Differential Equation?

    damped harmonic oscillator, urgent help needed! Homework Statement for distinct roots (k1, k2) of the equation k^2 + 2Bk + w^2 show that x(t) = Ae^(k1t) + Be^(k2t) is a solution of the following differential equation: (d^2)x/dt^2 + 2B(dx/dt) + (w^2)x = 0 Homework Equations The...
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    Can the Definite Integral of (ln x)^n be Expressed Using Factorials?

    Homework Statement Show that the definite integral from 0 to 1 (ln x)^n dx = n!(-1)^n Homework Equations The Attempt at a Solution i tried to integrate by parts and kept going on and on but i don't know how to incorporate the factorial in the answer ...