Home
Class 12
MATHS
y=acosx+bsinx is the solution of the d...

`y=acosx+bsinx` is the solution of the
differential equation
`(d^2y)/(dx^2)+y=0`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|47 Videos

  • DETERMINANTS

    A N EXCEL PUBLICATION|Exercise QUESTION TYPE|83 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (dy)/(dx)= 1/(x+y^2) is

solve the differential equation (x^2-y^2) d x+2 x y d y=0

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

The order of the differential equation x^2 (d^2y)/(dx^2)=1+(dy/dx)^3 is

Find the general solution of the differential equation y dx - (x + 2y^2) dy = 0

The degree of the differential Equation (d^2y)/(dx^2)+cos(dy/dx)=0 is

A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find second order derivative for x=ct and y=c/t

    Text Solution

    |

  2. Find (d^2y)/dx^2, if y=x^3+tanx

    Text Solution

    |

  3. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

    Text Solution

    |

  4. If y=3e^(2x)+2e^(3x), prove that (d^2y)/(dx^2)-5dy/dx+6y=0

    Text Solution

    |

  5. If y=sin^-1x,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

    Text Solution

    |

  6. Find the second order derivative of the following functions x^2+3x+2

    Text Solution

    |

  7. Find the second order derivative of the following functions x^20

    Text Solution

    |

  8. Find the second order derivative of the following functions xcosx

    Text Solution

    |

  9. Find the second order derivative of the following functions logx

    Text Solution

    |

  10. Find the second order derivative of the following functions x^3logx

    Text Solution

    |

  11. Find the second order derivative of the following functions e^xsin5x

    Text Solution

    |

  12. Find the second order derivative of the following functions e^(6x)cos3...

    Text Solution

    |

  13. Find the second order derivative of the following functions tan^(-1)x

    Text Solution

    |

  14. Find the second order derivative of the following functions log(logx)

    Text Solution

    |

  15. Find the second order derivative of the following functions sin(logx)

    Text Solution

    |

  16. If y=5cosx-3sinx, prove that (d^2y)/(dx^2)+y=0

    Text Solution

    |

  17. If y=cos^-1x, find (d^2y)/(dx^2) in terms of y alone.

    Text Solution

    |

  18. Let y=3cos(logx)+4sin(logx) Prove that x^2y2+xy1+y=0

    Text Solution

    |

  19. If y=ae^(mx)+be^(nx) , show that (d^2y)/(dx^2)-(m+n)dy/dx+mny=0

    Text Solution

    |

  20. If y=500e^(7x)+600e^(-7x). Show that (d^2y)/(dx^2)=49y

    Text Solution

    |