Home
Class 12
MATHS
Find the particular solution of the diff...

Find the particular solution of the differential equation `x(dy)/(dx)+y-x+x ycotx=0; x!=0,` given that when `x=pi/2,y=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation x(dy)/(dx)-y+xcos e c(y/x)=0; given that y=0 when x=1.

Find the general solution of the differential equations: x(dy)/(dx)+y-x+x ycotx=0(x!=0)

Find the particular solution of the differential equation (dy)/(dx)+ycotx=2x+x^2cotx(x!=0) given that y = 0 when x=pi/2 .

Find the general solution of the differential equations: x(dx)/(dy)+y-x+x ycotx=0(x!=0)

Find the particular solution of the differential equation (x-y)(dy)/(dx)=x+2y ,\ given that when x=1,\ y=0.

Find the particular solution of the differential equation (dy)/(dx)=-4x y^2 given that y = 1 , when x = 0 .

Find the general solution of the differential equation x(dy)/(dx)+2y=x^2(x!=0) .

Find the general solution of the differential equation x(dy)/(dx)+2y=x^2(x!=0) .

Find the particular solution of the differential equation (dy)/(dx)=(x y)/(x^2+y^2) given that y=1\ w h e n\ x=0.

Find the particular solution of the differential equation (dy)/(dx)=-4x y^2 given that y=1,w h e nx=0.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Using properties of determinants, prove that |[(a+1)(a+2),a+2,1],[(a...

    Text Solution

    |

  2. Solve the differential equation x^2dy+(x y+y^2)dx=0 given y=1, when x=...

    Text Solution

    |

  3. Find the particular solution of the differential equation x(dy)/(dx)+y...

    Text Solution

    |

  4. From a lot of 15 bulbs which include 5 defectives, a sample of 2 bulbs...

    Text Solution

    |

  5. Probability of solving specific problem independently by A and B are 1...

    Text Solution

    |

  6. Find the area of the region in the first quadrant enclosed by the y-ax...

    Text Solution

    |

  7. Evaluate : int0^(pi/2)(dx)/(1+sqrt(tanx))

    Text Solution

    |

  8. Show that the four points A, B, C and D with position vectors4 hat i+...

    Text Solution

    |

  9. Find the shortest distance between the lines vec r=( hat i+2 hat j+ h...

    Text Solution

    |

  10. Find the derivative of (sinx)^x+sin^(-1)sqrt(x) w.r.t. x

    Text Solution

    |

  11. If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(...

    Text Solution

    |

  12. Find int((x^2+1)e^x)/((x+1)^2)dx

    Text Solution

    |

  13. If x=asec^3theta,y=atan^3theta, find (d^2y)/(dx^2) at theta=pi/4

    Text Solution

    |

  14. Solve : tan^(-1)2x+tan^(-1)3x=pi/4

    Text Solution

    |

  15. Prove that : tan^(-1)(63/16)=sin^(-1)\(5/13)+cos^(-1)(3/5)

    Text Solution

    |

  16. A tank with rectangular base and rectangular sides open at the top is ...

    Text Solution

    |

  17. Let f: N -> R be a function defined as f(x)=4x^2+12 x+15. Show that f:...

    Text Solution

    |

  18. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

    Text Solution

    |

  19. Find the minimum value of (a x+b y), where x y=c^2dot

    Text Solution

    |

  20. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |