# How to you find the general solution of #dy/dx=3x^3#?

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To find the general solution of the differential equation ( \frac{dy}{dx} = 3x^3 ), integrate both sides with respect to ( x ):

[ \int dy = \int 3x^3 , dx ]

[ y = \frac{3}{4}x^4 + C ]

where ( C ) is the constant of integration.

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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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