# What is a solution to the differential equation #dy/dx=2yx+yx^2#?

Grouping variables

integrating both sides

Finally

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separate it, starting with....

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The solution to the differential equation dy/dx = 2yx + yx^2 is y = Ce^(x^2), 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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