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razorfever
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damped harmonic oscillator, urgent help needed!
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
I have no idea where to begin, can anyone point me in the right direction or giv me some sort of outline to follow
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 Attempt at a Solution
I have no idea where to begin, can anyone point me in the right direction or giv me some sort of outline to follow