Home
Class 12
MATHS
if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2...

if `y=(A+Bx)e^(mx)+(m-1)^-1 e^x` then `(d^2y)/(dx^2)-2m(dy)/(dx)+m^2y` is equal to:

A

`e^(x)`

B

`e^(mx)`

C

`e^(-mx)`

D

`e^((1-m)x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

if y=(A+Bx)e^(mx)+(m-1)^(-1)e^(x) then (d^(2)y)/(dx^(2))-2m(dy)/(dx)+m^(2)y is equal to:

If y= x^(2) e^(x) ,then ( d^(2)y)/(dx^(2)) -(dy)/(dx) =

If y=e^(2x) , then (d^(2)y)/(dx^(2)).(d^(2)x)/(dy^(2)) is equal to

If y=e^sqrtx+e^(-sqrtx) , then (x(d^2y)/(dx^2)+1/2.(dy)/(dx)) is equal to

If y=A e^(m x)+B e^(n x) , show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n y=0

If y=x^(m)e^(nx) then (d^(2)y)/(dx^(2)) is

y=Ae^(mx)+Be^(nx) show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0

If e^y(x+1)=1 . Show that (d^2y)/(dx^2)=((dy)/(dx))^2

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If y=at^2+2bt-cand t = ax^2+2bx+c, then(d^3y)/(dx^3) equals

    Text Solution

    |

  2. Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-...

    Text Solution

    |

  3. if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2y)/(dx^2)-2m(dy)/(dx)+m^2y is ...

    Text Solution

    |

  4. If f(x)=-(x^(3))/(3)+x^(2)sina.sin2a-5sin^(-1)(a^(2)-8a+17),then

    Text Solution

    |

  5. Let f and g be differentiable functions satisfying g(a) = b,g' (a) = ...

    Text Solution

    |

  6. The derivative of the function, f(x)=cos^(-1){(1)/(sqrt13)(2cosx-3sin...

    Text Solution

    |

  7. If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f...

    Text Solution

    |

  8. Let y=ln(1+cosx)^(2), then the value of(d^(2)y)/(dx^(2))+(2)/(e^(y//2)...

    Text Solution

    |

  9. If f(x)=(a+sqrt(a^2-x^2)+x)/(sqrt(a^2-x^2)+a-x) where a>0 and x<a then...

    Text Solution

    |

  10. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x)...

    Text Solution

    |

  11. If f(x)=|log(e)|x||," then "f'(x) equals

    Text Solution

    |

  12. If f(x) is given by f(x)=(cosx+i sinx)(cos3x+isin3x)......... .......

    Text Solution

    |

  13. Let f(x)=x^(n) , n being a non-negative integer, The value of n for w...

    Text Solution

    |

  14. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

    Text Solution

    |

  15. The function u=e^x s in ; v=e^x cos x satisfy the equation v(d u)/(dx)...

    Text Solution

    |

  16. If f(x)=logx(lnx) then f'(x) at x=e is

    Text Solution

    |

  17. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  18. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  19. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))), then (dy)/(dx) is equal to

    Text Solution

    |

  20. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

    Text Solution

    |