# What is a general solution to the differential equation #y'=y/(x^2-1)#?

The answer is

Rewrite the equation as

So,

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The general solution to the differential equation (y' = \frac{y}{x^2 - 1}) is (y(x) = \frac{C(x^2 - 1)}{x}), 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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