A curve passes through the point and at any point of the curve, the product of the slope of its tangent and -coordinate of the point is equal to the -coordinate of the point. Find the equation of the curve.

contexto.140

3 years ago

Solution:

It is given that product of slope of tangent and coordinate equals the -coordinate i.e.,
We have,

For the curve passes through , we get
Hence, the required particular solution is:-