Find the equation of a curve in lie a variable point `P(x,y) (-3,0)` is `4`. Write the name of the curve.

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x,y)is(y-1)/(x^(2)+x)

Find the equation of a curve passing through the point (1,pi/4) if the slope of the tangent to the curve at any point P(x,y) is y/x-cos^2(y/x)

Find the equation of a curve passing through the point (-2,3), given that slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))

Find the equation of normal to the curve, y = .x^3 at the point (1,1).

Find the equation of normal to the curve, y = .x^3 at the point (2,8).

Find the equation of the curve through the point (1,0), if the slope of the tangent to the curve at any point (x,y) is (y-1)/(x^(2)+x)

Find the equation of the curve through the point (1,0) if the slope of the tangent to the curve at any point (x,y) is (y-1)/(x^2+x) .

Find the equation of a curve passing through the point (-2,3) , given that the slope of the tangent to the curve at any point (x, y) is (2 x)/y^2