(a) Suppose that a quantity y = y(t) changes in sucha way that dy/dt = ky, where k > 0
Chapter 8, Problem 28(choose chapter or problem)
(a) Suppose that a quantity \(y=y(t)\) changes in such a way that \(d y / d t=k \sqrt{y}\), where \(k>0\). Describe how \(y\) changes in words.
(b) Suppose that a quantity \(y=y(t)\) changes in such a way that \(d y / d t=-k y^{3}\), where \(k>0\).Describe how \(y\) changes in words.
Equation Transcription:
Text Transcription:
y = y(t)
dy/dt = k sqrt{y}
k > 0
y
y = y(t)
dy/dt = -ky^3
k > 0
y
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