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# differential equations p3 watch

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1. Im having a lot of problems in setting up and solving these equations....can any1 help????
Im having a lot of problems in setting up and solving these equations....can any1 help????
Theres a list of differential equations for P1, P2 and P3 at http://www.pixelfairies.co.uk/?conte...ifferentiation if that helps
3. I dont mean thsoe differential equations...i mean when they give u a passage and u hav 2 set up the differential eqaution...such as newtons law of cooling.
There was a question like it in june 2003 paper....i couldnt do it

Help anyone???
4. hum, i couldnt do a), although i looekd on ajimal and didnt have a clue. can someone explain this please?

ive done the rest though!
5. (Original post by kikzen)
hum, i couldnt do a), although i looekd on ajimal and didnt have a clue. can someone explain this please?
...
Basically , two constants multiplied together are still a constant!

Since the tank is emptying, then the rate (of increase) of fluid flow is negative.

dV/dt = -K√ V, K positive

V = πr²h
dV/dh = πr²
dh/dV = 1/πr²

dh/dt = (dh/dV).(dV/dt)
dh/dt = 1/(πr²).(-K√ V)
dh/dt = 1/(πr²).(-K√ (πr²)√ h)
dh/dt = -K√ h/√ (πr²)
dh/dt = -k√ h, k a positive constant and k = K/√ (πr²)

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