Home
Class 12
MATHS
A homogeneous differential equation of ...

A homogeneous differential equation of the from `(dx)/(dy)=h(x/y)`can be solved by making the substitution.(A) `y = v x` (B) `v = y x` (C) `x = v y` (D) `x = v`

A

`y=vx`

B

`v=yx`

C

`x=vy`

D

`x=v`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions) ( Questions from NCERT Exemplar:)|5 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions) ( For Board Examinations :)|19 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (j) Long Answer Type Questions (I)|11 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

The differential equation (dy)/(dx)=(x+y-1)/(x+y+1) reduces to variable separable form by making the substitution

The differential equation (dy)/(dx)=(7x-3y-7)/(-3x+7y+3) reduces to homogeneous form by making the substitution

Solve the differential equation (y+3x^(2))(dx)/(dy)=x

Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)

Solve the differential equation (dy)/(dx)=(tan x)/(y+sin y)

Solve the following differential equations : x (dy)/(dx)=y-x

Solve the differential equation: (dy)/(dx)-(y)/(x)=2x^(2)

Solve the differential equation: x((dy)/(dx))-y=x^2

Solve the differential equation y+x dy/dx=x

Solve the following differential equations: (dy)/(dx)=(x+y)/(x-y)

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (A. Multiple Choice Questions) ( Questions from NCERT Textbook:)
  1. The degree of the differential equation((d^2y)/(dx^2))^3+((dy)/(dx))^...

    Text Solution

    |

  2. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

    Text Solution

    |

  3. The number of arbitrary constants in the general solution of a diff...

    Text Solution

    |

  4. The number of arbitrary constants in the particular solution of differ...

    Text Solution

    |

  5. Which of the following differential equations has y=c(1)e^(x)+c(2)e^(-...

    Text Solution

    |

  6. Which of the following differential equations has y = x as one of its...

    Text Solution

    |

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

    Text Solution

    |

  8. Which of the following differential equation cannot be solved, using v...

    Text Solution

    |

  9. A homogeneous differential equation of the from (dx)/(dy)=h(x/y)can ...

    Text Solution

    |

  10. Which of the following is a homogeneous differential equation?(A) (4...

    Text Solution

    |

  11. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

    Text Solution

    |

  12. What is the integrating factor of the differential equation (1-y^(2))(...

    Text Solution

    |

  13. The general solution of the differential equation (ydx-xdy)/(y)=0 is :

    Text Solution

    |

  14. The general solution of a differential equation of the type (dx)/(d...

    Text Solution

    |

  15. The general solution of the differential equation e x" "dy" "+" "(y...

    Text Solution

    |

  16. The degree of the differential equation representing the family of cu...

    Text Solution

    |