Differential equation is another example of some fancy math language that is really talking about a very straightforward idea that you are already familiar with, a derivative. A differential equation is a derivative. They try to make it out to be more than that, but really it is a derivative, some $\frac{\textcolor[rgb]{}{\mathit{dy}}}{\textcolor[rgb]{}{\mathit{dx}}}$ or $\textcolor[rgb]{}{y}\textcolor[rgb]{}{\u2018}$.

The differential equation section is an intersection between the two main topics you have learned in this course; a derivative and an antiderivative.

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Derivative
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You will want to think in terms of a derivative when you are being asked to:

– Verify the solution of a differential equation.

– Work with slope fields.

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Antiderivatives
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You will want to think in terms of an antiderivative when you are being asked to:

– Model situations with differential equations.

– Solve separable differential equations.

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