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Help solving First order DE

  1. Jan 25, 2009 #1
    1. The problem statement, all variables and given/known data
    [tex]\frac{dA}{dt}[/tex]=[tex]\frac{5}{3}[/tex] - [tex]\frac{4A}{150+2.5t}[/tex] lb/min
    so basically dA/dt = rate in - rate out

    2. Relevant equations
    This is basically a mixture problem. There is 10 gals/min going in and 4gals/min going out. Tank starts at 150/300 gallons with 1/4 lb/gal mixture. 5gal/min are coming in at 1/3 lb/gal mixture, other 5 is clean water.

    3. The attempt at a solution
    Derived this equation, tried to manipulate it algebraically, but not really sure how to proceed. Can't seem to separate the equation and integrate, all I really know is integration factors and substitution. Any help would be great. Thanks.
     
  2. jcsd
  3. Jan 26, 2009 #2
    Nevermind, got it using integration factor.
     
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