-28. Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t with the general form c1eαtcos(βt)+c2eγsin(δt) α=(-1/2) β=sqrt(28)/4 γ=(-1/2) δ=sqrt(28)/4 c1=1 c2=? I helped you out as bes

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A spring with a 2-kg mass and a damping constant 2 can be held stretched 0.5 meters beyond its natural length by a force of 2 newtons. Suppose the spring is stretched 1 meters beyond its natural length and then released with zero velocity.

In the notation of the text, what is the value c2 - 4mk? -28.

Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t with the general form

c1eαtcos(βt)+c2eγsin(δt)

α=(-1/2)

β=sqrt(28)/4

γ=(-1/2)

δ=sqrt(28)/4

c1=1

c2=?

I helped you out as best I could, but I couldn't find the answer for the final arbitrary constant, could you help me find it. This is a differential equations question.

This is a calculus question.

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