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Dolfinz1972 (talk | contribs) Reverted 1 edit by 2600:1700:5500:7E80:28A6:D8D0:B270:E55F (talk): I do (TW) |
m Task 70: Update syntaxhighlight tags - remove use of deprecated <source> tags |
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The equation can be also solved in MATLAB symbolic toolbox as
<
x = dsolve('D2x+c*Dx+k*x=0','x(0)=1','Dx(0)=0')
</syntaxhighlight>
although the solution looks rather ugly,
<
x = (c + (c^2 - 4*k)^(1/2))/(2*exp(t*(c/2 - (c^2 - 4*k)^(1/2)/2))*(c^2 - 4*k)^(1/2)) -
(c - (c^2 - 4*k)^(1/2))/(2*exp(t*(c/2 + (c^2 - 4*k)^(1/2)/2))*(c^2 - 4*k)^(1/2))
</syntaxhighlight>
This is a model of a [[Damping|damped oscillator]]. The plot of displacement against time would look like this:
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