# How do you use the differential equation #dy/dx=4x+(9x^2)/(3x^3+1)^(3/2)# to find the equation of the function given point (0,2)?

This is a separable differential equation.

Integrate both sides.

Integrate using the rule above:

Hopefully this helps!

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To find the equation of the function given the point (0,2) using the differential equation dy/dx=4x+(9x^2)/(3x^3+1)^(3/2), follow these steps:

- Integrate both sides of the given differential equation with respect to x to find the general solution.
- Use the given point (0,2) to determine the constant of integration.
- Substitute the constant of integration and the given point into the general solution to find the specific equation of the function.

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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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