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A storage tank contains a liquid at depth y. The liquid is withdrawn at a rate dependent on the depth. The liquid is supplied to

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A storage tank contains a liquid at depth y. The liquid is withdrawn at a rate dependent on the depth. The liquid is supplied to the tank at a sinusoidal rate as a function of time The differential equation governing the depth of the liquid is given by: dy Q dt A The parameter values are tank cross-section A = 1250m2, maximum supply Q = 450 m3/day and coefficient = 150, Assume that the coordinate y was chosen so as ysOrn at t = 0

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