# What is a solution to the differential equation #dy/dx=(x+sinx)/(3y^2)#?

This is separable

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The solution to the differential equation ( \frac{dy}{dx} = \frac{x + \sin(x)}{3y^2} ) is given implicitly by ( y = \sqrt[3]{\frac{x^3}{9} - \frac{1}{27}\sin(x)^3 + 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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