Equation of Curve Passing Through (0, 9)

[locachola17]

Homework Statement

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?

Homework Equations

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).