Calculate the relative error of the answer obtained

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If water is drained from a vertical cylindrical tank by opening a valve at the base, thewater will flow fast when the tank is full and slow down as it continues to drain. As itturns out, the rate at which the water level drops is: ????????=-??v?? where ?? is a constantdepending on the shape of the hole, the cross-sectional area of the tank and drain hole.The depth of the water ?? is measured in meters and the time ?? in minutes. If ??=0.5,determine how long it takes the tank to drain if the fluid level is initially 3 m. Solve theproblem by applying classical fourth-order Runge-Kutta method. Use a step size of 0.5minutes.Given the true value is ??=2v3 ??, calculate the relative error of the answer obtained fromyour calculation.

Reference no: EM131067525

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