Equation of a curve

[locachola17]

1. The problem statement, all variables and given/known data

A curve passes through the point (0, 9) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve?

2. Relevant equations



3. The attempt at a solution

im thinking the slope would then be 18...but i haven't gotten much farther than that

[EstimatedEyes]

Keep in mind that derivative equals slope at a given point.

[Dick]

Keep in mind that derivative equals slope at a given point.

Right. And slope=derivative. So you want to solve the differential equation y'(x)=2*y(x).