# A curve 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?

##### 1 Answer

May 6, 2017

#### Explanation:

Recall that the slope of the curve at a point

Therefore, by what has been given, we have,

This is a **Separable Variable Type Diff. Eqn.,** and, to find its

**General Solution,** we **integrate** it **termwise,** and get,

**Curve.**

Since, this curve passes through the point

Hence, the eqn of the curve is,

**Enjoy Maths.!**