A curve passes through the point (0,2) and has the property that the slope of the curve at every point PP is five times the yy-coordinate of PP. What is the equation of the curve?

Step-by-step explanation:

The slope of a curve is given by its derivative function. From the question, its value at any point (x, y) is 5 times y.

Integrate both sides

Don't forget the constant of integration

Since C is a constant, then is constant. Let's call it A.

At the point (0, 2), when x = 0, y = 2.

Hence,

6mm^3 or .6cm^3

      216

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  36     6

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6     6   6

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