# What is a solution to the differential equation # xy' = y#?

# y = Ax #

We have:

Which we can write as:

Which is separable, so we can "separate the variables" to get:

So that:

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The solution to the given differential equation ( xy' = y ) is ( y = Cx ), where ( C ) is a 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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