Proportionality Suppose that x and y are related by the

Chapter , Problem 4AAE

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Proportionality  Suppose that \(x\) and \(y\) are related by the equation

                          \(x=\int_{0}^{y} \frac{1}{\sqrt{1+4 t^{2}}} \ d t\)

Show that \(d^{2} y / d x^{2}\) is proportional to \(y\) and find the constant of proportionality.

Equation Transcription:

Text Transcription:

x

y

x =integral_0 ^y 1/sqrt 1 + 4t^2 dt

d^2 y/dx^2

y

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