Home
Class 12
MATHS
The standard substitution for solving an...

The standard substitution for solving any homogeneous differential equation is………..a)`y=vx` b)`v=y/x` c)`v=x/y` d)`v=xy`

A

`y=vx`

B

`v=y/x`

C

`v=x/y`

D

`v=xy`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos
  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

Similar Questions

Explore conceptually related problems

The substitution for solving the differential equation dy/dx-(y+sqrt(x^2-y^2))/x=0 is

The differential equation y=c^2+c/x is

The differential equation of y=c^2+c/x is

Equation of X axis is……………..a)x=0 b)y=0 c)x=b d)y=a

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

The general solution of the differential equation (x^2+xy)y'=y^2 is

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

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

Solve the following differential equations.(7) (y+x dy/dx)sin xy=cos x

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  2. The differential equation obtained by eliminating arbitrary constants ...

    Text Solution

    |

  3. The standard substitution for solving any homogeneous differential equ...

    Text Solution

    |

  4. Solution of the differential equation dy/dx+(1+cos 2y)/(1-cos 2x)=0 is...

    Text Solution

    |

  5. The solution of the differential equation sec^2y tan x dy+sec^2x tan y...

    Text Solution

    |

  6. The substitution for solving the differential equation dy/dx-(y+sqrt(x...

    Text Solution

    |

  7. If the equation dy/dx=(x^3+3x^2y+y^n)/(xy^2) is a homogeneous differen...

    Text Solution

    |

  8. If dy/dx+1/x y=x^3-3 is a linear differential equation then e^(int Pdx...

    Text Solution

    |

  9. If cos^2 x dy/dx+y=tan x is a linear differential equation then e^(int...

    Text Solution

    |

  10. Solve the following differential equations.dr=a(r sin theta d theta-co...

    Text Solution

    |

  11. Which of the following differential equation is not a homogeneous diff...

    Text Solution

    |

  12. A cistern is being emptied in such a way that the rate at which water ...

    Text Solution

    |

  13. In a culture of yeast,the active ferment doubles itself in 3 hours.Ass...

    Text Solution

    |

  14. The order and degree of the differential equation (d^4y/dx^4)=[1+(dy/d...

    Text Solution

    |

  15. The differential equation y=c^2+c/x is

    Text Solution

    |

  16. x^2+y^2=r^2 is a solution of y=x dy/dx+r sqrt(1+(dy/dx)^2)

    Text Solution

    |

  17. Form a differential equation by eliminating arbitrary constants A an B...

    Text Solution

    |

  18. Form a differential equation by eliminating arbitrary constants A,B,C ...

    Text Solution

    |

  19. Find the particular solution of differential equation (x-y^2x)dx-(y+x...

    Text Solution

    |

  20. Solve the following differential equations.(4)(x dy/dx-y)e^(y/x)=x^2 c...

    Text Solution

    |