# What is the solution to the Differential Equation #4/y^3 dy/dx=1/x#?

# y = +-sqrt(2/(C-ln |x| ))#

We have:

This is a first Order Separable Differential Equation, we can just "separate the variables" to get

And integrating gives us:

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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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