# How to you find the general solution of #dy/dx=5e^(-x/2)#?

THe general solution is

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To find the general solution of ( \frac{dy}{dx} = 5e^{-\frac{x}{2}} ), integrate both sides with respect to (x), resulting in ( y = -10e^{-\frac{x}{2}} + 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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