Home
Class 12
MATHS
Which of the following is a general solu...

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

A

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

B

`y = (Ax + B)e^(-x)`

C

`y = A cos x + B sin x`

D

`y = Ae^(x) + Be^(-x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|39 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)|17 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|26 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of (x+2y^(3))(dy)/(dx)=y

Solve (d^2y)/(dx^2)=((dy)/(dx))^2

Solve (d^2y)/(dx^2)=((dy)/(dx))^2

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

General solution of (2x-10y^(3))(dy)/(dx)+y=0 , is

Find the general solution of (dy)/(dx)-3y=sin 2x

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

The solution of ((dy)/(dx))^(2) + (2x + y) (dy)/(dx) + 2xy = 0 , is

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

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

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment (Section - A) Competition Level Questions
  1. The differential equation for which y=a cos x+b sin x is a solution is

    Text Solution

    |

  2. The solution of (dy)/(dx)+y=e^(-x), y(0)=0 " is"

    Text Solution

    |

  3. Which of the following is a general solution of (d^(2)y)/(dx^(2))-2(dy...

    Text Solution

    |

  4. The solution of differential equation xdy-ydx=0 represents

    Text Solution

    |

  5. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is (...

    Text Solution

    |

  6. Solution of the differential equation tan y.sec^(2) x dx + tan x. sec^...

    Text Solution

    |

  7. The integrating factor of (xdy)/(dx)-y=x^(4)-3x " is"

    Text Solution

    |

  8. The general solution of differential equation (e^(x)+1)ydy=(y+1)(e^(x)...

    Text Solution

    |

  9. The solution of differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y)is

    Text Solution

    |

  10. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

    Text Solution

    |

  11. The number of solutions of (dy)/(dx)=(y+1)/(x-1),"Then y(1)=2 is"

    Text Solution

    |

  12. The differential equation y(dy)/(dx)+x=C represents

    Text Solution

    |

  13. The integrating factor of differential equation (dy)/(dx)+y=(1+y)/(x)"...

    Text Solution

    |

  14. The differential equation of the family of curves of x^(2)+y^(2)-2ay=0...

    Text Solution

    |

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

    Text Solution

    |

  16. The curve in which the slope of the tangent at any point equal the rat...

    Text Solution

    |

  17. The solution of equation (2y-1)dx-(2x+3)dy=0 is

    Text Solution

    |

  18. Let f(x) = secx*f'(x), f(0) = 1, then f(pi/6) is equal to

    Text Solution

    |

  19. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

    Text Solution

    |

  20. The order & the degree of the differential equation whose general ...

    Text Solution

    |