# What is a solution to the differential equation #dy/dx=x-y#?

not separable, not exact, so set it up for an integrating factor

or

so

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The solution to the differential equation (\frac{dy}{dx} = x - y) is given by the function (y(x) = ce^{-x} + x - 1), where (c) is an arbitrary constant.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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