Home
Class 12
MATHS
Which of the following is a solution of ...

Which of the following is a solution of `(d^(2)y)/(dx^(2))+ y = 0 ` :

A

`A cos x + B sin x `

B

` (Ax+B)e^(x)`

C

`(A+Bx)e^(-x)`

D

`(Ax+B)e^(2x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS )|22 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.9|25 Videos

  • MODEL QUESTION PAPER -1

    PREMIERS PUBLISHERS|Exercise Part -IV|20 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

Solution of (dy)/(dx)+2x y=y is

The solution of (dy)/(dx) + y/x = y^2/x^2 is :

The solution of (dy)/(dx)=2^(y-x) is

Determine the order and degree ( if exists ) of the following equations . (d^(2)y)/(dx^(2)) +3 ((dy)/dx)=x^(2)log((d^(2)y)/(dx^(2)))

Find the order and degree, if defined, of each of the following differential equations: (i) (dy)/(dx) - cos x = 0 (ii) xy (d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0 (iii) y''' + y^(2) + e^(y)' = 0

Show that y=Acos2x+Bsin2x is a solution of the differential equation (d^(2)y)/(dx^(2))+4y=0

Verify that the function y =4 sin 3x is a solution of the differential equation (d^(2)y)/(dx^(2))+9y=0

Verify that the function y=bcosx+asinx, where a and binR is a solution of the differential equation (d^(2)y)/(dx^(2))+y=0

PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

    Text Solution

    |

  2. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

    Text Solution

    |

  3. Which of the following is a solution of (d^(2)y)/(dx^(2))+ y = 0 :

    Text Solution

    |

  4. The differential equation formed by eliminating A and B for the relat...

    Text Solution

    |

  5. If xy=a^(2) where a is arbitrary constant then :

    Text Solution

    |

  6. The order and degree of the differential equation y'' (y - (y')^(3))...

    Text Solution

    |

  7. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

    Text Solution

    |

  8. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

    Text Solution

    |

  9. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

    Text Solution

    |

  10. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

    Text Solution

    |

  11. If y^(2) = 4ax where a is constant then the differential equation for...

    Text Solution

    |

  12. The differential equation formed if y = (A - Bx ) e^(-2x) is :

    Text Solution

    |

  13. The differential equation that will represent the family of all circle...

    Text Solution

    |

  14. Solve (x^(2)-y) dx+(y^(2)-x)dy=0 , if it passes through origin :

    Text Solution

    |

  15. The differential equation representing the family of curve y = A sin ...

    Text Solution

    |

  16. The order and degree of the differential equation sin^(3)x (dx + dy)...

    Text Solution

    |

  17. The general solution of (dy)/(dx) + y/x = 0 is :

    Text Solution

    |

  18. If I.F of (dy)/(dx) +P(x)y = Q (x) is cos^(2)x then P (x) =

    Text Solution

    |

  19. The solution of (dy)/(dx)+1/(x^(2)+1)= 0 is

    Text Solution

    |

  20. The solution of (dy)/(dx)=2^(y-x) is

    Text Solution

    |