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Determine the order of the differential equation.$$y^{\prime \prime}+x y^{\prime}+e^{x} y=y^{\prime \prime \prime}$$

3rd-Order

Calculus 2 / BC

Chapter 1

First-Order Differential Equations

Section 1

Differential Equations Everywhere

Differential Equations

Missouri State University

Campbell University

Harvey Mudd College

Lectures

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01:42

let's consider the following differential equation. We have the second derivative of why, plus independent variable X times, the first derivative why plus either the x times the function why itself equals the third derivative of why a road to find the order. We simply must determine what the highest order derivative is the problem from the first trim we have the second derivative in the second term. We have a factor that involves the first derivative. And then when we go across equality, we see that the right hand side involves the third derivative. Therefore, the answer to this problem is that this is 1/3 order differential equation.

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