Unformatted text preview: R te & 2 t dt = & ( t= 2) e & 2 t & (1 = 4) e & 2 t . 6. Solve the initial value problem y 3 + x 2 dy dx = 0 ; y (1) = 1 : 7. A stirred tank contains 300 gallons of water and 5 pounds of salt. A solution of water and salt containing 1±10 pound of salt per gallon is pumped into the tank at the rate of 15 gal±min and the mixture is allowed to drain at the same rate. Set up the initial value problem (ODE plus initial conditions) for the amount Q of salt in the tank at time t . Then, solve the initial value problem and interpret your solution. What is the behavior of salt concentration as time t ! + 1 ?...
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 Fall '08
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 Math, Differential Equations, Equations, Trigraph, Boundary value problem, Gallon, Pint, ty

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