The slope of the tangent to the curve at any point is reciprocal of twice the ordinate of that point. The curve passes through the point `(4, 3)`. Determine its equation.

Explanation

Let `{P}({x}, {y})` be any point on the curve.


Slope of tangent at `{P}({x}, {y})=frac{{dy}}{{dx}}`


Therefore, according to question,


`frac{d y}{d x}=frac{1}{2 y}`


`2 y d y=d x`


Integrating both sides,


``
`y^{2}=x+C`


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