Home
Class 12
MATHS
If y = a cos 2 x + b sin 2 x , then...

If y = a cos 2 x + b sin 2 x , then

A

`(d^(2) y) /(dx^(2)) + y= 0`

B

`(d^(2) y)/(dx^(2)) + 2y = 0`

C

`(d^(2) y)/(dx^(2)) + 3y = 0`

D

`(d^(2) y)/(dx^(2)) + 4y =0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 8

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MODEL TEST PAPER 10

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If y = a cos (log x) + b sin (log x) , show that x^(2) y_(2) + xy_(1) + y = 0 .

If y = A sin x + B cos x , the prove that (d^2 y)/(dx^2) + y = 0

x = a cos theta, y = b sin theta .

The maximum value of y=a cos x + b sin x is

If y= A sin x+ B cos x , then prove that (d^(2)y)/(dx^(2))+y=0 .

If y = e^(2x)(A cos 3x - B sin 3x) , then y satisfies

If y = 3 sin x + 2 cos x then prove that (d^2y)/(dx^2) + y = 0

If y=5 cos x-3 sin x , Prove that (d^2y)/(dx^2)+y=0 .

The differential equation for which y = a cos x + b sin x is

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 02-MATHEMATICS
  1. The standard equation of the hyperbola having the distance between foc...

    Text Solution

    |

  2. Find the eccentricity of the elipse ( x^(2))/( 16)+ ( y^(2) )/( 9) =1

    Text Solution

    |

  3. If the angle between the lines whose direction ratios are 2 , -1 , 2 a...

    Text Solution

    |

  4. The point of intersection of the lines (x + 1)/(3) = (y + 3)/(5) = (z...

    Text Solution

    |

  5. The point of intersection of the line joining the points (-3 , 4 , -8)...

    Text Solution

    |

  6. If a real valued function of a real variable is defined as f (x) = cos...

    Text Solution

    |

  7. If X = { 1 , 2 , 3} and Y = {0 , 1} and f : X to Y defined by f = { (1...

    Text Solution

    |

  8. lim(x to oo) ((x + 6)/(x + 1))^(x + 4) , is equal to

    Text Solution

    |

  9. If the function . f(x) = 4 xx 5^(x) for x lt 0 = 8a + x for x ge 0...

    Text Solution

    |

  10. If f(a) = 2 , f ' (a) = 1 , g (a) = -1 , g'(a) = 2 , then lim(x to a) ...

    Text Solution

    |

  11. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

    Text Solution

    |

  12. The value of dy/dx , when cos x = (1)/( sqrt(1 + t^(2))) and sin y = (...

    Text Solution

    |

  13. If y = a cos 2 x + b sin 2 x , then

    Text Solution

    |

  14. If l(1) = (d)/(dx) (e^(sin x)) , l(2) = lim(h to 0) (e^(sin ( x+ h)) ...

    Text Solution

    |

  15. The value of the integral int e^(tan^(-1) x) * ((1 + x + x^(2)))/((1 +...

    Text Solution

    |

  16. The value of the integral int (dx)/(x (1 + log x)^(2)) is equal to

    Text Solution

    |

  17. If the binary operation ** is defined on a set of ordered pairs of rea...

    Text Solution

    |

  18. The set of matrices S = {[{:( x , -x) , (-x , x):}]0 ne x in R} forms...

    Text Solution

    |

  19. Let p and q denote the following propositions : p : To become an army ...

    Text Solution

    |

  20. Indicate which of the following is a tautology .

    Text Solution

    |