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Determine the order of the following differential equations.$\left(y^{\prime}\right)^{2}=y^{\prime}+2 y$
First order
Calculus 2 / BC
Chapter 4
Introduction to Differential Equations
Section 1
Basics of Differential Equations
Differential Equations
Campbell University
Oregon State University
University of Michigan - Ann Arbor
Idaho State University
Lectures
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A differential equation is…
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Determine the order of the…
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Which of the following dif…
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Solve the given differenti…
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Find the general solution …
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Determine the general solu…
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Classify the differential …
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Write the following first-…
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so to determine the order of this equation, we essentially want to determine what is the highest power derivative that we have here. And so we see that we have a why with no derivative. So that's not going to be a high order. But we also have a Y prime in a white prime squared. So the Squared might make this a little bit trickier because we might be tempted to say its second order. But because really, it's still the first derivative that just tells us that our highest, a derivative, is going to be one, so we have a first order.
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