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What is a solution to the differential equation #dy/dx=3y#?

Answer 1

Samantha Adkison

#y = C e^(3x)#

#dy/dx = 3y#

#1/y dy/dx = 3#

#int \ 1/y dy/dx \ dx=int 3 \ dx#

#int \ 1/y \ dy=int 3 \ dx#

#ln y = 3x + C#

#y = e^(3x + C) = C e^(3x)#

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Answer 2

Ezekiel Alexander

The solution to the differential equation dy/dx = 3y is y = Ce^(3x), where C is a constant.

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Answer from HIX Tutor

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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