# What is a solution to the differential equation #dy/dx=4-6y#?

this is separable

we integrate both sides

or

please note that I am using C as a generic constant here so it's value changes through the process

please note that I am using C as a generic constant here so it's value changes through the process

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The solution to the differential equation ( \frac{dy}{dx} = 4 - 6y ) is ( y(x) = \frac{2}{3} - Ce^{-6x} ), 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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