Practice Problems for Final. 1. Solve the equation ty-y=te- >0 dy 2. Solve dor = xy, y(0) = 2. Find the interval, on whi
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Practice Problems for Final. 1. Solve the equation ty-y=te- >0 dy 2. Solve dor = xy, y(0) = 2. Find the interval, on whi
Practice Problems for Final. 1. Solve the equation ty-y=te- >0 dy 2. Solve dor = xy, y(0) = 2. Find the interval, on which the solution is defined. 3. At time t = 0,20 lb of salt is dissolved in 100 gal of water. Assume the water containing lb of salt/gal is entering the tank at the rate of 4 gal/min and the well stirred mixture is draining from the tank at the same rate. Let Q() be the amount of salt in the tank at any time t. (a) Set the initial value problem to describe this flow process. (b) Find Q60) (c) Find the limit of Q(0) when t goes to infinity
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