Problem 44478. Exponential decay

Many dynamic processes can be approximated as an exponential decay. This applies to radioactive decay, some chemical reactions, ageing of LEDs etc. See for more background.

Assume that the process starts with a normalised value of x(0) = 1, and it follows the following decay law:

x'(t) = - x(t) / tau

where x'(t) is the first derivative of x(t), and time constant tau is 2.

Write a function that returns the value x for a given input t. It should be able to deal with a vector input.

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70.83% Correct | 29.17% Incorrect
Last Solution submitted on May 09, 2020

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