Edexcel Core pure paper 1

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lincoln120
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Does anyone remember the last question? Also is this exam blocked on Google? I can't find anything about it.
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Jxsonr
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(Original post by lincoln120)
Does anyone remember the last question? Also is this exam blocked on Google? I can't find anything about it.
Was like (d^2 theta / dt^2 ) + 9 theta = 1/2 cos 3t I think and then had to show the particular intergral was 1/12 t sin 3t and then find the general. Didn’t get any further then that so idk what the rest was
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Gene Y Dho
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(Original post by Jxsonr)
Was like (d^2 theta / dt^2 ) + 9 theta = 1/2 cos 3t I think and then had to show the particular intergral was 1/12 t sin 3t and then find the general. Didn’t get any further then that so idk what the rest was
Find that G.S.

Consider initial state,

Find particular solution
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Gene Y Dho
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(Original post by Gene Y Dho )
Find that G.S.

Consider initial state,

Find particular solution
P.I. : y = λtsin3t
y’ = λsin3t 3λtcos3t
y’’ = λcos3t (3λcos3t-9λtsin3t)
λcos3t (3λcos3t-9λtsin3t) 9(λtsin3t)=1/2cos3t
4λcos3t=1/2cos3t
λ=1/8
P.I. 1/8t sin 3t

using Laplace transform seems more convenient rather than C.F. P.I. Rule

L(1/2cos3t) = int(1/4 e^-(s 3i)t dt)
Last edited by Gene Y Dho; 2 weeks ago
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