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core 4 differential equation help

hello


I can't get my head around question 7. i've got dh/dt but how do you find constants a and k? :confused:

http://filestore.aqa.org.uk/subjects/AQA-MPC4-QP-JUN13.PDF


I am also stuck on how to form diffrential equations for instance when do you have to put variable other than k on the RHS.
eg question 7a why is it dA/dt = -k, and not dA/dt = -kA?
http://filestore.aqa.org.uk/subjects/AQA-MPC4-W-QP-JUN11.PDF

in some other similar pastpaper questions they have put a variable other than k on the RHS. i just don't understand!!! :colondollar:

Thank you:biggrin:
Original post by 1423
hello


I can't get my head around question 7. i've got dh/dt but how do you find constants a and k? :confused:

http://filestore.aqa.org.uk/subjects/AQA-MPC4-QP-JUN13.PDF


I am also stuck on how to form diffrential equations for instance when do you have to put variable other than k on the RHS.
eg question 7a why is it dA/dt = -k, and not dA/dt = -kA?
http://filestore.aqa.org.uk/subjects/AQA-MPC4-W-QP-JUN11.PDF

in some other similar pastpaper questions they have put a variable other than k on the RHS. i just don't understand!!! :colondollar:

Thank you:biggrin:


Well there is nothing special about the letter k, any letter could be used instead.

You are told that dhdt=acoskt\frac{dh}{dt}=a \cos kt so that is the differential equation you are required to write down.
To find thje values of a and k, what is the maximum value that acoskt a\cos kt can take and when does it occur?.
For the second question ,. we require the negative sign because the surface area will be decreasing
(edited 9 years ago)

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