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- [Voiceover] Lets now introduce ourselves to the idea of a differential equation. And as well see, differential equations are super useful for modeling and simulating phenomena and understanding how they operate. But well get into that later. For now lets just think about or at least look at what a differential equation actually is. So if I were to write, so lets see here is an example of differential equation, if I were to write that the second derivative of y plus two times the first derivative of y is equal to three times y, this right over here is a differential equation. Another way we could write it if we said that y is a function of x, we could write this in function notation. We could write the second derivative of our function with respect to x plus two times the first derivative of our function is equal to three times our function. Or if we wanted to use the Leibniz notation, we could also write, the second derivative of y with respect to x plus two times the first der
