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It is expected in traditional mathematics that when you input data into a well-defined equation you get an expected output. We looked at the logistic equation f(x) = rx(1-x) with different initial inputs. Explain how with some initial conditions we get a predictable result but with others the result was surprisingly different - how was it different?

It is expected in traditional mathematics that when you input data into a well-defined equation you get an expected output. We looked at the logistic equation f(x) = rx(1-x) with different initial inputs. Explain how with some initial conditions we get a predictable result but with others the result was surprisingly different - how was it different?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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It is expected in traditional mathematics that when you input data into a well-defined equation you get an expected output. We looked at the logistic equation f(x) = rx(1-x) with different initial inputs. Explain how with some initial conditions we get a predictable result but with others the result was surprisingly different - how was it different?
Transcribed Image Text:It is expected in traditional mathematics that when you input data into a well-defined equation you get an expected output. We looked at the logistic equation f(x) = rx(1-x) with different initial inputs. Explain how with some initial conditions we get a predictable result but with others the result was surprisingly different - how was it different?
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