Home
Class 12
MATHS
Show that y=(a+bx)e^(2x) is a solution o...

Show that `y=(a+bx)e^(2x)` is a solution of the differntial equation `y_2-4y_1+4y=0`.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos
  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos
  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos

Similar Questions

Explore conceptually related problems

Verify that the given function is a solution of the differential equation: y_2+4y=0 , y=Acos2x+Bsin2x

Verify that the function y = e^(-3x) , is a solution of the differential equation ((d^2y)/dx^2) + (dy)/dx - 6y = 0

Show that the function y=Ax+B/x , x ne 0 , is a solution of the differntial equation. x^2((d^2y)/(dx^2))+x(dy)/(dx)-y=0

Verify that weather y=e^(x) + 1 is the solution of differential equation y"-y' = 0 or not?

True or false: y=13e^x+4e^-x is a particular solution of the differential equation (d^2y)/(dx^2)-y=0

Show that the general solution of the differential equation ((dy)/(dx)) + (y^2 + y + 1)/(x^2 + x + 1) = 0 is given by (x + y +1) = A)1-x-y-2xy) , where A is parameter.

Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d^2y)/(dx^2)-6(dy)/(dx)+9y=0

Solve the differential equations: (3x+2y+1)dx+(6x+4y+5)dy=0

True or false: y=x is a particular solution of the differntial equation (d^2y)/(dx^2)-x^2(dy)/(dx)+xy=x

PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Show that y=(a+bx)e^(2x) is a solution of the differntial equation y2-...

    Text Solution

    |

  2. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  3. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  4. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  5. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  6. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  7. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  8. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  9. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  10. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  11. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  12. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  13. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  14. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  15. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  16. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  17. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  18. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  19. c(y+c)^2=x^3, c is an arbitrary constant.

    Text Solution

    |

  20. y^2-2ay+x^2=a^2, a is an arbitrary constant.

    Text Solution

    |

  21. In each of the following cases, from the differential equation by elim...

    Text Solution

    |