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Math 246H Final Exa Fall 2006 M.Jakobson
Solve each of the following eight pro lems on a separate answer sheet, using
the back of the sheet if necessary. P t your name, section number, the name
of your recitation instructor, and th number of the problem on each sheet.
Carefully show all your steps and e plain your arguments. Cross out any
material that is not to be graded. Y; u may NOT use calculators, notes or
texts.
1. Solve the initial value problem. Find the maximal interval in which
the solution is valid.
y' = -:--;:~====:=:::
2y
y(5) = 2
2. (a) A tank contains 10 kg of alt dissolved in 100 liters of water. A
solution of salt water cont ining 1 kg/liter flows into the tank at
a rate of 5 liters/minute, d well mixed solution flows out of the
tank at the same rate.
i. Write down an initialalue problem satisfied by the amount
(
...

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