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Determine the order of the differential equation.$$\frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}+y=e^{x}$$
$e^{x}$ 2nd Order
Calculus 2 / BC
Chapter 1
First-Order Differential Equations
Section 1
Differential Equations Everywhere
Differential Equations
Campbell University
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consider the following differential equation. What we want to do with this differential equation is find its order in order to find the order of the differential equation. We look to all the derivatives we see in the equation from this statement, we have just the function itself. From here we have the first derivative of the function, and from this term, we're looking at the second derivative. So we have the second derivative. We have the first derivative, and those are all the derivatives that appear in this equation. Now we look at the highest derivative that appears, and the answer to this problem is that this is a second order differential equation.
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