Q1 ) The tank contains 1000 gal of water in which 200lb of salt are dissolved. Fifty gal of brine, each containing (1+ cost) lb of dissolved salt, run into the tank per minute.The mixture, kept uniform by stirring, runs out at the same rate. Find the amount of salt y(t) in the tank at any time t . Q.2) Find an integrating factor and then solve.
y' = xy +2x - x^3, y(0)=0 Also find the 3rd approximated solution by Picard’s method.
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A tank contains 1000 gal of water in which 200 lb of salt are dissolved. Fifty gal of
brine, each containing (1 cost) lb of dissolved salt, run into the tank per minute.
The mixture, kept uniform by stirring, runs out at the same rate. Find the amount of
salt y(t) in the tank at any time t
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Answer:
constantly being stirred
Step-by-step explanation:
1000 gal of water in a tank has 200 pound of salt dissolved in it. The tank is filled with 50 gal of brine per minute, each holding 1 cost kg of dissolved salt.
The mixture runs out evenly since it is constantly being stirred. Find the tank's salt content y(t) at any time t.
and do the formulated procedure finaly gets
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