A patient starts with a concentration of medicine in her bloodstream equal to 10 milligrams per liter. Each day, the patient decomposes 60% of the medication in her bloodstream. However, the doctor gives her enough medication daily to increase the concentration in her bloodstream by 3 milligram per liter. What is the updating function and initial condition describing this DTDS? Graph the updating function, labeling axes appropriately.

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Chapter2: Second-order Linear Odes
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A patient starts with a concentration of medicine in her bloodstream equal to 10 milligrams per liter. Each day, the patient decomposes 60% of the medication in her bloodstream. However, the doctor gives her enough medication daily to increase the concentration in her bloodstream by 3 milligram per liter.

What is the updating function and initial condition describing this DTDS? Graph the updating function, labeling axes appropriately.

Find the equation of the solution function for this DTDS explicitly.

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