A relation `phi` from C to R is defined by `x phi y<=>|x\=y`. Which one is correct?

A relation phi from CC "or" R R is defined by x phiy implies |x| =y. which one is coR Rect ?

Let N be the set of integers. A relation R or N is defined as R={(x,y):xygt0, x,y,inN} . Then, which one of the following is correct?

If a normal of curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle phi from X-axis then show that its equation is y cos phi -x sin phi = a cos 2phi .

If the general solution of the differential equation y'=y/x+phi(x/y) , for some function phi is given by y ln|cx|=x , where c is an arbitray constant, then phi(x/y) is equal to (here y'=(dy)/(dx) )

Show that the function phi , defined by phi(x)= cos x(x in R) , satisfies the initial value problem (d^(2)y)/(dx^2)+y=0, y(0)=1, y'(0)=0 .

For any real numbers theta and phi , we defined theta R phi if and only if sec^2 theta - tan^2 phi =1 . Then relation R is

If the general solution of the differential equation (dy)/(dx)=(y)/(x)+phi((x)/(y)) , for some functions phi is given by y ln|cx|=x, where c is an arbitrary constant then phi(2) is equal to

If phi(x) is a differentiable function, then the solution of the different equation dy+{y phi' (x) - phi (x) phi'(x)} dx=0, is

If phi(x) is a differentiable function, then the solution of the different equation dy+{y phi' (x) - phi (x) phi'(x)} dx=0, is