Home
Class 12
MATHS
F(x,y)=(sqrt(x^(2)+y^(2))+y)/x is a homo...

`F(x,y)=(sqrt(x^(2)+y^(2))+y)/x` is a homogeneous function of degree……………..

Text Solution

Verified by Experts

The correct Answer is:
Zero
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise TYPE-III:TRUE OR FALSE QUESTIONS|26 Videos
  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|41 Videos
  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise TYPE-I:(MULTIPLE CHOICE QUESTIONS)|84 Videos
  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise (Question carrying 6 marks)|7 Videos
  • DIFFERENTIABILITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos

Similar Questions

Explore conceptually related problems

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

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 .

Fill ups The function phi(x,y)=x^2y+xy^2 is homogenous of degree……….. .

Show that if x^2+y^2=1 , then the point (x,y,sqrt(1-x^2-y^2)) is at a distance of 1 unit from the origin.

Show that the differential equation x-cos(y/x)((dy)/(dx)) = ycos(y/x)+x is homogeneous and solve it.

ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-II: FILL IN THE BLANKS QUESTIONS
  1. The integrating factor of differential equation dy/dx + y/x = 2x is:

    Text Solution

    |

  2. The integrating factor of differential equation (dy)/(dx)+(2y)/x=3x is...

    Text Solution

    |

  3. Order of the differential equation representing the family of parabola...

    Text Solution

    |

  4. The degree of the differential equation ((dy)/(dx))^(3)+((d^(2)y)/(dx^...

    Text Solution

    |

  5. The number of arbitrary constants in a particular solution of the diff...

    Text Solution

    |

  6. F(x,y)=(sqrt(x^(2)+y^(2))+y)/x is a homogeneous function of degree…………...

    Text Solution

    |

  7. Integrating factor of the differential equation x(dy)/(dx)-y=sinx is …...

    Text Solution

    |

  8. The general solution of the differential equation (dy)/(dx)=e^(x-y) is...

    Text Solution

    |

  9. The general solution of the differential equation (dy)/(dx)+y/x=1 is……...

    Text Solution

    |

  10. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

    Text Solution

    |

  11. The degree of the differential equation (d^(2)y)/(dx^(2))+e^((dy)/(dx)...

    Text Solution

    |

  12. The degree of the differential equation sqrt(1+((dy)/(dx))^(2))=x is …...

    Text Solution

    |

  13. The number of arbitrary constant in the general solution of a differen...

    Text Solution

    |

  14. (dy)/(dx)+y/(x logx)=1/x is an equation of the type…………….

    Text Solution

    |

  15. Solve the differential equation : xdy/dx+2y=x^2.

    Text Solution

    |

  16. The solution of (1+x^(2))(dy)/(dx)+2xy-4x^(2)=0 is ………

    Text Solution

    |

  17. The solution of the differential equation y dx+(x+xy)dy=0 is ……….

    Text Solution

    |

  18. General solution of (dy)/(dx)+y=sinx is ………….

    Text Solution

    |

  19. The solution of differential equation cot y dx=x dy is …………

    Text Solution

    |

  20. The integrating factor of (dy)/(dx)+y=(1+y)/x is ……………….

    Text Solution

    |