Find the equation of a curve passing through (2, 1) if the slope of the tangent to the curve at any point (x, y) is
Slope of the tangent is given by
Slope of the tangent of the curve
Put y=VX
Using product rule differentiate vx
Integrate
Put
Resubstitute 1
Resubstitute v
The curve is passing through (2,1)
Hence (2,1) will satisfy the equation (a)
Put x=1 and y=2 in (a)
Use loga+logb=logab
Put c in equation (a)