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Unformatted text preview: all real x . 6. Consider the system of equations y 1 = 3 y 1 + 4 y 2 y 2 = 2 y 1 + 3 y 2 . a) Find the general solution of this system. b) Find the solution to the initial value problem given by this system and y 1 (0) = 1, y 2 ( x ) = 0. 7. A large tank contains 100 gallons of brine in which 200 pounds of salt are dissolved. Beginning at time t = 0 pure water runs in at the rate of 3 gallons/minute, and the mixture, which is kept uniform by stirring, flows out at the rate of 2 gallons/minute. How long will it take to reduce the amount of salt in the tank to 100 pounds?...
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 Spring '08
 Snyder
 Differential Equations, Equations

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