Home
Class 12
MATHS
Find the real value of m for which the s...

Find the real value of `m` for which the substitution `y=u^m` will transform the differential equation `2x^4y(dy)/(dx)+y^4=4x^6` in to a homogeneous equation.

A

m=0

B

m=1

C

1m=3//2`

D

No value of m

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|8 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

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

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

Solve the differential equation: (dy)/(dx)+5y=cos4x

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

Solve the following differential equation: (dy)/(dx)+2y=4x

Solve the following differential equation: (dy)/(dx)+\ y=4x

The substituion y=z^(alpha) transforms the differential equation (x^(2)y^(2)-1)dy+2xy^(3)dx=0 into a homogeneous differential equation for

Show that the differential equation y^3dy+(x+y^2)dx=0 can be reduced to a homogeneous equation.

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

Show that the differential equation (x e^((y)/(x)) + y) dx = x dy is homogeneous differential equation.

ARIHANT MATHS ENGLISH-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
  1. If the differential equation of the family of curve given by y=Ax+Be^(...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  4. A function y = f(x) satisfies the condition f'(x) sin x + f(x) cos x=...

    Text Solution

    |

  5. A curve is such that the area of the region bounded by the co-ordinate...

    Text Solution

    |

  6. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  7. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  8. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

    Text Solution

    |

  9. A wet porous subtance in the open air loses its moisture at a rate pro...

    Text Solution

    |

  10. A curve C passes through origin and has the property that at each poin...

    Text Solution

    |

  11. A function y=f(x) satisfies (x+1)f^(')(x)-2(x^(2)+x)f(x) = e^(x^(2))/(...

    Text Solution

    |

  12. The curve with the property that the projection of the ordinate on the...

    Text Solution

    |

  13. The differential equation corresponding to the family of curves y=e^x ...

    Text Solution

    |

  14. The equation to the orthogonal trajectories of the system of parabolas...

    Text Solution

    |

  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

    Text Solution

    |

  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

    Text Solution

    |

  17. A curve passing through (2,3) and satisfying the differential equation...

    Text Solution

    |

  18. Which one of the following curves represents the solution of the initi...

    Text Solution

    |