Home
Class 12
MATHS
Prove that g(x,y) = xlog(y/x) is homogen...

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

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    SURA PUBLICATION|Exercise EXERCISE 8.8|15 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    SURA PUBLICATION|Exercise GOVERNMENT EXAM QUESTIONS|2 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    SURA PUBLICATION|Exercise EXERCISE 8.6|9 Videos
  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS )|6 Videos
  • DISCRETE MATHEMATICS

    SURA PUBLICATION|Exercise 5 MARKS|2 Videos

Similar Questions

Explore conceptually related problems

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.

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

Verify Euler's theorem for w = x ^(2) sin ((y)/(x)).

i . Show that (dy)/(dx)=(x)/(y)+(y)/(x) is a homogeneous equation. ii . Hence, solve it.

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)=

Solve the differential equation x(dy)/(dx)=y-xtan((y)/(x)) is homogenous and solve it.

Verify Euler's theorem for f(x,y) = (1)/(sqrt(x^(2)+y^(2)))

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