Home
Class 12
MATHS
The general solution of the differential...

The general solution of the differential equation `cos2x(dy)/(dx)-sqrt((1+tanx)/(1-tanx))-y=0` is given by

A

`ysqrt(tan(x+pi/4))=x+C`

B

`ysqrt(cot(x+pi/4))=x+C`

C

`ysqrt(tan(x+pi/4))=tanx+C`

D

`ysqrt(cot(x+pi/4))=cotx+C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL 2 Single Correct Answer Type Questions|18 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES Numerical Answer Type Questions|13 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos
  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos

Similar Questions

Explore conceptually related problems

Solution of the differential equation cos^(2)(x-y)(dy)/(dx)=1

The general solution of the differential equation,sin2x((dy)/(dx)-sqrt(tan x))-y=0, is

The general solution of the differential equation x (dy)/(dx) + y = 0 is

General solution of differential equation x(dy)/(dx)+y=0

General solution of the differential equation (cosx)(dy)/(dx)+y.sinx=1 is

Find the general solution of the differential equation (dy)/(dx)-y=cos x

General solution of the differential equation (dy)/(dx)=1+x + y is

The general solution of differential equation (dy)/(dx)=(x+y)/(x-y) is

MCGROW HILL PUBLICATION-DIFFERENTIAL EQUATIONS -SOLVED EXAMPLES LEVEL 1 Single Correct Answer Type Questions
  1. Solution of the differential equation xdy-ydx-sqrt(x^2+y^2)dx=0 is

    Text Solution

    |

  2. An equation of the curve stisfying xdy-ydx=sqrt(x^2-y^2)and y(1)=0 is

    Text Solution

    |

  3. A solution of the equaion x(dy)/(dx)=y(logy-logx+1) is

    Text Solution

    |

  4. The solution of x^3(dy)/(dx)+4x^2tany=e^xsecy satisfying y(1)=0 is

    Text Solution

    |

  5. If for the differential equation y'=y/x+phi(x/y) the general solution ...

    Text Solution

    |

  6. The solution y(x) of the differential equation (d^2y)/(dx^2)=sin3x+e^x...

    Text Solution

    |

  7. The differential equation (dy)/(dx)=sqrt(1-y^2)/y determines a family ...

    Text Solution

    |

  8. Let f(x) ba a differentiable on the interval (0, oo) such that f(1)=1,...

    Text Solution

    |

  9. Suppose y=y(x) satisfies the differential equation ydx+y^2dy=xdy. If y...

    Text Solution

    |

  10. The equation of the curve whose tangent at any point (x, y) makes ans ...

    Text Solution

    |

  11. The degree and order respecxtively of the differential equation of all...

    Text Solution

    |

  12. The solution of the differential equation (dx)/(dy)=(x+y)/x satisfying...

    Text Solution

    |

  13. The differential equaton which represents the family of curves y=c1e^(...

    Text Solution

    |

  14. Solution of the differential equation cosxdy=y(sinx-y)dx, 0ltxltpi//2 ...

    Text Solution

    |

  15. If (dy)/(dx)=y+3gt0 and y(0) and y(0)=2, y(log2) is equal to

    Text Solution

    |

  16. Let I be the purchase value of an equipment and V(t) be the vlalue aft...

    Text Solution

    |

  17. The population p(t) at time t of a certain mouse species follows the d...

    Text Solution

    |

  18. If the differential equation representing the family of all touching y...

    Text Solution

    |

  19. The general solution of the differential equation cos2x(dy)/(dx)-sqrt(...

    Text Solution

    |

  20. The curve y=f(x)(f(x)gt=0,f(0)=0) bounding a curvilinear trapezoid wit...

    Text Solution

    |