Differential Calculus Problem?

Mary weighs 60 kg and is on a diet of 1600 calories per day . Each day her body uses up 850 calories for basic metobolism . Exercise uses up calories at a rate propotional to her weight : 15 calories per kilogram per day . Assume 1 kg of body mass is equivalent to 10000 calories a) Write a differential equation... hiển thị thêm Mary weighs 60 kg and is on a diet of 1600 calories per day . Each day her body uses up 850 calories for basic metobolism . Exercise uses up calories at a rate propotional to her weight : 15 calories per kilogram per day . Assume 1 kg of body mass is equivalent to 10000 calories
a) Write a differential equation for Mary's weight in kilograms
b) Solve the equation to find Mary's weight as a funtion of time
c) What will happen to her weight after a long time?

( Hint : Convert data on work in kg , not in calories )
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