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Unite equation article

Unite equation article easily

Aug 6th, 2022

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How to unite equation article

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in this video were going to study autonomous differential equations this is part of my larger playlist on differential equations and you can check out link to that and the open source textbook that accompanies it down in the description okay so what is an autonomous differential equation well this is a generic differential equation not yet autonomous and it says that the derivative is just some function of the independent variable t and the dependent variable y sometimes the independent variable is also labeled x thats okay so the point here is that y is a function of in this case t but t is just independent so thats the generic case for a first order differential equation so what makes it autonomous well an autonomous differential equation is one where the t just doesnt appear i mean its still a derivative with respect to t and y still depends on t but the explicit definition of the differential equation it only depends on y its a derivative of y is equal to just some expressio

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