Acurve passes through the point (0, 5) 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? (use x as the independent variable.

Step-by-step explanation:

Let (x,y) represents a point P on the curve,

So, the slope of the curve at point P =

According to the question,

Integrating both sides,

Since, the curve is passing through the point (0, 5),

Hence, the required equation of the curve is,