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

True or false: The function F(x,y)=ysin(y/x)-x is a homogenous function of degree 1.

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

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

True or false: A differential equation of the form (dy)/(dx)=g(x,y) where g(x,y) is a homogenous function of degree zero, can be solved by the substitution y=vx .

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

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

If f (x,y) is homogeneous function of degree 5 then x (del f)/(delx) +y (del f)/( del y)=