Home
Class 12
MATHS
Show that f(x, y)=1+e^(x//y) is a homoge...

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

Text Solution

Verified by Experts

The correct Answer is:
degree 0
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(a)|15 Videos

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(b)|17 Videos

  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Question|3 Videos

  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos

Similar Questions

Explore conceptually related problems

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

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

Given that f(x) is a differentiable function of x and that f(x) ,f(y) = f(x) + f(y) +f(xy) -2 and that f(1)=2 , f(2) = 5 Then f(3) is equal to

If 'f is a function such that f (x + y) =f (x) f (y) for all x,y in R and f ^(1) (0) exists, show that f ^(1) (x) = f(x) f ^(1)(0) for all x, y in R.

If f : R to R is continuous such that f(x + y) = f(x) + f(y) x in R , y in R and f(1) = 2 then f(100) =

Let f be a function defined on R such that f(x + y) = f (x) + f(y) AA x,y in R . If is continuous at x = 0 , Prove that it is continuous on R .

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIAL EQUATIONS -EXERCISE- 8(e)
  1. Show that f(x, y)=1+e^(x//y) is a homogeneous function of x and y.

    Text Solution

    |

  2. Find the I.F. of the following differential equations by transforming ...

    Text Solution

    |

  3. Find the I.F. of the following differential equations by transforming ...

    Text Solution

    |

  4. Solve the following differential equations. (dy)/(dx)+y tan x=cos^(3...

    Text Solution

    |

  5. Solve the following differential equations. (dy)/(dx)+y sec x=tan x

    Text Solution

    |

  6. Solve the following differential equations. (dy)/(dx)-y tan x =e^(x)...

    Text Solution

    |

  7. Solve the following differential equations. x (dy)/(dx) + 2y=log x

    Text Solution

    |

  8. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=e^(t...

    Text Solution

    |

  9. Solve the following differential equations. (dy)/(dx)+(2y)/(x)=2x^(2...

    Text Solution

    |

  10. Solve the following differential equations. (dy)/(dx)+(4x)/(1+x^(2))y...

    Text Solution

    |

  11. Solve the following differential equations. x(dy)/(dx)+y=(1+x)e^(x)

    Text Solution

    |

  12. Solve the following differential equations. (dy)/(dx)+(3x^(2))/(1+x...

    Text Solution

    |

  13. Solve the following differential equations. (dy)/(dx)-y=-2e^(-x)

    Text Solution

    |

  14. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=ta...

    Text Solution

    |

  15. Solve the following differential equations. (dy)/(dx)+y tan x=sin x

    Text Solution

    |

  16. Solve the following differential equations. cos x. (dy)/(dx)+y sin x...

    Text Solution

    |

  17. Solve the following differential equations. sec x. dy= (y + sin x)dx

    Text Solution

    |

  18. Solve the following differential equations. x log x. (dy)/(dx)+y=2 l...

    Text Solution

    |

  19. Solve the following differential equations. (x+y+1)(dy)/(dx)=1

    Text Solution

    |

  20. Solve the following differential equations. x(x-1)(dy)/(dx)-y=x^(3)(...

    Text Solution

    |

  21. Solve the following differential equations. (x+2y^(3))(dy)/(dx)=y

    Text Solution

    |