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**Unformatted text preview: **pool. During the cleanup effort in the aftermath of the accident, the contaminated water passes through a purifier at a rate of 10 4 m 3 jday, i.e., the contaminated water in the pool is replaced by clean water at this rate. How many days should the purification last for the level of the isotope to fall below the safe limit of 2 x 10-13 kg/m 3 ? (Hint: with good accuracy In3 ~ 1.1). 6. (18 points) Consider the initial value problem dy (y)2 dt = 1 + t ' yeO) = 1. (a) Use the Euler's method with step size h = 0.2 to find an approximate solution of this problem at t = 0.2,0.4,0.6. (b) Find an explicit solution of this initial value problem and compare it with the result in part (a). How well did the Euler's method approximate the solution at these values of t?...

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