(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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