A curve passes through `(1,pi/4)` and at `(x,y)` its slope is `(sin 2y)/(x+tan y).` Find the equation to the curve.

A curve passes through (1,(pi)/(4)) and at (x,y) its slope is (sin2y)/(x+tan y). Find the equation to the curve.

A curve C passes through (2,0) and the slope at (x,y) as ((x+1)^(2)+(y-3))/(x+1). Find the equation of the curve.Find the area bounded by curve and x-axis in the fourth quadrant.

A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2+(y-3))/(x+1)dot Find the equation of the curve.

A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2+(y-3))/(x+1)dot Find the equation of the curve. Find the area bounded by curve and x-axis in the fourth quadrant.

A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2+(y-3))/(x+1)dot Find the equation of the curve. Find the area bounded by curve and x-axis in the fourth quadrant.

The slope of the tangent at (x,y) to a curve passing through (1,(pi)/(4)) is given by (y)/(x)-cos^(2)((y)/(x)), then the equation of the curve is

The slope of the tangent at (x, y) to a curve passing through (1, (pi)/(4) ) is given by (y)/(x) - cos^(2) ((y)/(x)) , then the equation of the curve is-

If the gradient of the tangent at any point (x,y) of a curve which passes through the point (1, (pi)/(4)) is {(y)/(x)-sin^(2)((y)/(x))} , then the equation of the curve is-