Change to polar coordinate the equations
`(x^(2) + y^(2))^(2) = a^(2) (x^(2) - y^(2))`.

Change to polar coordinates the equations x^(2)-y^(2)=2ay

Change the independent variable to o in the equation (d^(2)y)/(dx^(2))+(2x)/(1+x^(2))(dy)/(dx)+(y)/((1+x^(2))^(2))=0, by means of the transformation x=tan theta

The equation sqrt((x-2)^(2)+y^(2))+sqrt((x+2)^(2)+y^(2))=4 represents

Solve the equation (dy)/(dx)=(y)/(x)-(y^(2))/(x^(2))

The equation (x+y)^(2)-(x^(2)+y^(2))=0 represents