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YouTubeSteve Brunton
The Simplest Ordinary Differential Equation (ODE) and Its Exponential Solution
Here we introduce the simplest linear, first-order ordinary differential equation, dx/dt = constant * x, using intuitive examples like the growth of a bunny population, radioactive decay, and compound interest in the bank. We solve this equation and find that the solutions are given by exponential functions in time. This is the basis for all of ...
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