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:

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|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

RESONANCE DPP-JEE MAINS-All Questions
  1. If | vec a|=3,| vec b|=4 then a value of lambda for which vec a+lambd...

    Text Solution

    |

  2. Number of solutions of the equation 2^x+3^x+4^x-5^x=0 is 0 (b) 1 (c...

    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. A pair of tangents are drawn to a unit circle with centre at the origi...

    Text Solution

    |

  5. Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...

    Text Solution

    |

  6. Of f(x)=p x^2+q x+r is a quadratic expression such that [a^2a1b^2b1c^2...

    Text Solution

    |

  7. A rectangle ABCD is inscribed in a circle. Let PQ be the diameter of t...

    Text Solution

    |

  8. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two str...

    Text Solution

    |

  9. If the lines a x+2y+1=0,b x+3y+1=0 and c x+4y+1=0 are concurrent, then...

    Text Solution

    |

  10. The equation to the circle which touches the axis of y at the origin a...

    Text Solution

    |

  11. 56. Match the interval(s) of x, for which fx) is real Column-4 Column-...

    Text Solution

    |

  12. Let f(theta)=1/(1+(tantheta)^(2013)) then value ofsum(theta=1^(@))^(8 ...

    Text Solution

    |

  13. A circle centred at 'O' has radius 1 and contains the point A. Segment...

    Text Solution

    |

  14. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

    Text Solution

    |

  15. if siny=xsin(a+y) and (dy)/(dx)=(A)/(1+x^(2)-2xcosa) then the value of...

    Text Solution

    |

  16. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

    Text Solution

    |

  17. If f(x) satisfies the requirements of Lagrange's mean value theorem on...

    Text Solution

    |

  18. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  19. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  20. Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

    Text Solution

    |