Home
Class 12
MATHS
Let y = (A + Bx) e^(3x) is a solution of...

Let `y = (A + Bx) e^(3x)` is a solution of the differential equation`(d^2y)/dx^2+mdy/dx+ny = 0,m,n in I,` then

A

m+n =3

B

`n^2 -m^2 =64`

C

m =-6

D

n=9

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 3|52 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos

  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 1|30 Videos

  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|15 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

Similar Questions

Explore conceptually related problems

Let y=(A+Bx)e^(3x) is a solution of the differential equation (d^(2)y)/(dx^(2))+m(dy)/(dx)+ny=0,m,n in I, then

Let y=(A+Bx)e^(3x) is a Solution of the differential equation (d^(2)y)/(dx^(2))+m(dy)/(dx)+ny=0,m,n in I, then

y = log x + c is a solution of the differential equation x(d^(2)y)/(dx^(2)) + (dy)/(dx) = 0

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

Solution of the differential equation y dx+(x-y^(2))dy=0 is

The solution of the differential equation (d^(2)y)/(dx^(2))+3y=-2x is

The solution of the differential equation ((x+2y^(3))dy)/(dx)=y is

The solution of the differential equation (d^(2)y)/(dx^(2))=e^(-2x) , is

Show that y=e^(2x) is a solution of differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

MOTION-DIFFERENTIAL EQUATION -Exercise 2
  1. Find the particular solution of (cos x – x sin x +y^2)dx + 2xy dy = 0 ...

    Text Solution

    |

  2. Orthogonal trajectories of family of the curve x^(2/3)+y^2/3=a^((2/3))...

    Text Solution

    |

  3. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

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

    Text Solution

    |

  5. Water is drained from a vertical cylindrical tank by opening a valv...

    Text Solution

    |

  6. If y=x/(In|cx|) (where c is an arbitrary constant) is the general solu...

    Text Solution

    |

  7. Number of straight lines which satisfy the differential equation (dy)/...

    Text Solution

    |

  8. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

    Text Solution

    |

  9. If y= e^((k+1)x) is a solution of differential equation (d^2y)/(dx^2) ...

    Text Solution

    |

  10. The differential equation (d^2y)/dx^2+x dy/dx+siny+x^2=0, is which of...

    Text Solution

    |

  11. Let y = (A + Bx) e^(3x) is a solution of the differential equation(d^2...

    Text Solution

    |

  12. y=a e^(-1/x)+b is a solution of (dy)/(dx)=y/(x^2), then (a) ( b ...

    Text Solution

    |

  13. Which one of the following is homogeneous function ?

    Text Solution

    |

  14. The graph of the function y = f(x) passing through the point (0, 1) an...

    Text Solution

    |

  15. (x^2y^3+xy)dy=dx

    Text Solution

    |

  16. The equation of the curve passing through (3,4) and satisfying the dif...

    Text Solution

    |

  17. The orthogonal trajectories of the system of curves y^2 =cx^3 are

    Text Solution

    |

  18. The solution the differential equation (dy/dx)^2 - (dy/dx)(e^x+e^(-x))...

    Text Solution

    |

  19. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

    Text Solution

    |

  20. Let C be a curve such that the normal at any point P on it meets x-axi...

    Text Solution

    |