Home
Class 12
MATHS
Find the differential equation of the cu...

Find the differential equation of the curves given by `y = Ae^(2x)+Be^(-2x)` where A and B are parameters.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    UNITED BOOK HOUSE|Exercise EXERCISE|43 Videos
  • QUESTION PAPER 2017

    UNITED BOOK HOUSE|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

y = ae^(3x) + be^(-2x)

Find the differential equation of the family of circles x^(2) + y^(2) = 2ax , where a is a parameter .

Find the differential equation of the family of circles x^(2) + y^(2) = 2ay , where a is a parameter .

Find a differential equation which is satisfied by all curves y = Ae^(2x) + Be^(-(x)/(2)) , where A and B are non-zero constants .

From the differential equation representing the family of curves y = A cos (x + b) , where A and B are parameters .

The differential equation of the family of curves y^(2)=4a(x+a) is -

The differential equation of the family of curves y=e^(2x)(acosx+bsinx) , where a and b are arbitrary constants, is given by

Find the differential equation representing the family of curves y= ae^(bx+5) where a and b are arbitrary constants.

The differential equation of the family of curves y=e^x(Acosx+Bsinx), where A and B are arbitrary constants is

The differentiable equation of the family of curves y=A(x+B)^(2) after eliminating A and B is -

UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
  1. If sin^(-1) ((x^2-y^2)/(x^2+y^2))=k, k is a constant, then prove that ...

    Text Solution

    |

  2. Evaluate the int sin sqrtxdx

    Text Solution

    |

  3. Find the differential equation of the curves given by y = Ae^(2x)+Be^(...

    Text Solution

    |

  4. Find the vector equation of the line whose Cartesian equation is given...

    Text Solution

    |

  5. If veca and vecb are two vectors such that |veca|=2,|vecb|=3 and veca....

    Text Solution

    |

  6. Find out the mean and variance of the following probability distributi...

    Text Solution

    |

  7. Find the probability that birthdays of any two members out of five me...

    Text Solution

    |

  8. Prove that tan^(-1)(1/(x+y))+tan^(-1)(y/(x^2+xy+1) )= cot^(-1)x.

    Text Solution

    |

  9. If A = ([1,4],[2,3]) then show that A^2-4A-5I = theta and using this f...

    Text Solution

    |

  10. Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.

    Text Solution

    |

  11. Show that |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3.

    Text Solution

    |

  12. Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0

    Text Solution

    |

  13. Find (dy)/(dx) where x= cos^(-1)(8t^4-8t^2+1) y =sin^(-1)(3t-4t)^3...

    Text Solution

    |

  14. Evaluate: int(2^xdx)/sqrt(4^x-2^(x+2)+5)

    Text Solution

    |

  15. Evaluate : int (3x+5)/(x^3-x^2-x+1)dx

    Text Solution

    |

  16. SolveL (1+y)^2dx=(tan^(-1)y-x)dy, given that y= 0 when x= -1.

    Text Solution

    |

  17. If the rate of increase of population is 5% per year, then in how man...

    Text Solution

    |

  18. Find vecc, when vecaxxvecc=vecb and veca.vecc= 3 where veca= hatr+hatj...

    Text Solution

    |

  19. Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...

    Text Solution

    |

  20. Evaluate (with the help of definite integral) underset(n rarr infty)...

    Text Solution

    |