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bit stuck here with this problem

I have a differential equation for SHM here in the form

x= A cos 10.7t + B sin 10.7t

I need to find the constants of integration. w = 10.7 as above

I dont have anything other than experimental data

Time Second Distance / m

0 0

0.05 -0.008

0.1 -0.008

0.15 -0.008

0.2 -0.009

0.25 -0.014

0.3 -0.019

0.35 -0.029

0.4 -0.036

0.45 -0.045

0.5 -0.051

0.55 -0.056

0.6 -0.054

0.65 -0.029

0.7 -0.012

0.75 0.011

0.8 0.031

0.85 0.055

0.9 0.049

0.95 0.025

1 0.002

1.05 -0.032

1.1 -0.047

1.15 -0.055

1.2 -0.047

1.25 -0.021

1.3 0.002

1.35 0.035

1.4 0.049

1.45 0.054

1.5 0.045

1.55 0.016

1.6 -0.006

1.65 -0.038

1.7 -0.051

1.75 -0.053

1.8 -0.042

1.85 -0.012

1.9 0.011

1.95 0.04

2 0.052

Since x=0 when t = 0

I get A = 0 ... A Cos 0 =0

But then I also seem to get B=0 which makes no sense.

If B is the amplitude of the function then sure it must 0.055m or thereabouts

Any ideas on working out B

I have tried other values but to no avail.

thanks a lot

sid

Edit/ The first value of the data ist he time value and the second one is the displacement value

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# SHM- differential Equations. Finding the constants of Integration from exp. data

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