1 ) Find the solution of the initial value problem dy = t cost t dt 2y ? 12 y(0)

ID: 2987581 • Letter: 1

Question

1) Find the solution of the initial value problem

dy = t cost t

dt 2y ? 12

y(0) = 3

2) A 100-gallon tank is initially half full with pristine water. Salt water enters

the tank at a concentration of half a pound of salt per gallon at a rate of 5

gallons per minute. Simultaneously, the well-mixed solution leaves the tank,

also at 5 gallons per minute.

a) Write an initial value problem that models this process.

b) Solve this initial value problem.

c) How much salt is in the tank after 10 minutes? Give the exact answer

and an appropriate estimate.

d) How much salt is in the tank after a very long time?

Can't understand the first question please explain

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