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SOLVE BELOW BOTH QUESTIONS a. determine the orthogonal trajectories...

SOLVE BELOW BOTH QUESTIONS

a. determine the orthogonal trajectories to the given family of curves.

   cey^2 = sin(2x)

b. A drug is infused into a patient's bloodstream at a constant rate of 0.2 grams per second. Simultaneously, the drug is removed at a rate proportional to the amount of the drug present at any time t.  Determine as a function of time.

HINT - dy/dt = 'rate in' - 'rate out'

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