# How to you find the general solution of #dy/dx=(x^2+2)/(3y^2)#?

This is a separable differential equation, so we can proceed by separating the variables and integrating:

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To find the general solution of the differential equation (\frac{dy}{dx} = \frac{x^2 + 2}{3y^2}), you can separate the variables and integrate both sides with respect to (x) and (y). After integration, you'll obtain an implicit equation relating (x) and (y). This equation represents the general solution of the given differential equation.

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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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