Show that `f(x, y) =x sqrt(x^(2)+y^(2))-y^(2)` is a homogeneous function of x and y.

Show that f (x,y) = (2x ^(2) -y ^(2))/sqrt(x ^(2) + y ^(2)) is a homogeneous function of degree 1.

Show that f(x, y)=1+e^(x//y) is a homogeneous function of x and y.

Show that F(x,y)=(x^2+5xy-10y^2)/(3x+7y) is a homogeneous function of degree 1.

f(x,y)=(1)/(x+y) is a homogeneous function of degree

Show that f(x, y)=x-y log y+y log x is a homogeneous function of x and y.

f ( x , y ) = sin − 1 ( x y ) + tan − 1 ( y x ) is homogeneous function of degree:

Identify the statement(s) which is/are true. (a) f( x , y )= e^( y/ x )+tan y/ x is a homogeneous of degree zero. (b) xln y/ x dx+ y^(2)/ x *sin^-1(y/ x ) dy=0 is a homogeneous differential equation. (c)f( x ,y )= x^(2)+sinx cosy is a non homogeneous. (d)( x^(2)+ y^(2))dx-(x y^(2)-y^(3))dy=0 is a homogeneous differential equation.

Identify the statement(s) which is/are true. (a) f( x , y )= e^( y/ x )+tan y/ x is a homogeneous of degree zero. (b) xln y/ x dx+ y^(2)/ x *sin^-1(y/ x ) dy=0 is a homogeneous differential equation. (c) f( x ,y )= x^(2)+sinx cosy is a non homogeneous. (d) ( x^(2)+ y^(2))dx-(x y^(2)-y^(3))dy=0 is a homogeneous differential equation.