(a) Suppose that a quantity y = y(t) increases at a ratethat is proportional to the

Chapter 8, Problem 27

(choose chapter or problem)

(a) Suppose that a quantity \(y = y(t)\) increases at a rate that is proportional to the square of the amount present, and suppose that at time \(t = 0\), the amount present is \(y_{0}\), Find an initial-value problem whose solution is \(y(t)\).

(b) Suppose that a quantity \(y = y(t)\) decreases at a rate that is proportional to the square of the amount present, and suppose that at a time \(t = 0\), the amount present is \( y_{0}\). Find an initial-value problem whose solution is \(y(t)\).

Equation Transcription:

Text Transcription:

y = y(t)

t = 0

y_0

y(t)

y = y(t)

t = 0

y_0

y(t)

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