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Finding the equation of the curve...

Finding the equation of the curve

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Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve passing through the origin.given that the slope of tangent to the curve at any point point is y+2x.

The slope of a curve at (x,y) is (x^(2)-2) and it passes through the point (3,8) . Find the equation of the curve

Find the equation of the curve for which the length of the normal is constant and the curves passes through the point (1,0).

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

The tangents to a curve at a point on it is perpendicular to the line joining the point with the origin. Find the equation of the curve.