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

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

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

If u= sin^(-1)((x^(4) + y^(4))/(x^(2) + y^(2))) and f= sin u then f is a homogenous function of degree _________

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

Prove that f(x,y) =x^(3) - 2x^(2)y + 3xy^(2) + y^(3) is homogenous, what is the degree? Verify Euler's Theorem for f.

Prove that g(x,y) = xlog(y/x) is homogenous, what is the degree? Verify Euler's Theorem for g.

Let f(x) be real valued and differentiable function on R such that f(x+y)=(f(x)+f(y))/(1-f(x)dotf(y)) f(x) is Odd function Even function Odd and even function simultaneously Neither even nor odd

If u is a homogenous function of x and y of degree n, then x(del^(2)u)/(del x^(2)) + y(del^(2)u)/(del x del y) = __________ (del u)/(del x) .