Home
Class 12
MATHS
Let y=y (x) be the solution of dif...

Let `y=y (x)` be the solution of differential equation ,
` ( 2 + sin x ) /( y +1) . (dy )/(dx ) = - cos x ,y gt 0 , y (0 ) =1` . If
` y (pi ) =a and ( dy )/(dx ) ` at ` x = pi ` is b , then the ordered pair ( a, b ) is equal to :

A

`(2,1)`

B

`(1,-1)`

C

`(1,1)`

D

`(2, 3/2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

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

The solution of differential equation cos x dy = y (sin x - y ) dx, 0 lt x lt pi //2 is

Solution of the differential equation cos x cos y dy -sin x sin y dx=0 is

Solution of the differential equation sin x. cos y dy + cos x. sin y dx = 0 is

The solution of the differential equation x dx + y dy+ (x dy - y dx)/(x^(2)+y^(2))=0 is

The solution the differential equation "cos x sin y dx" + "sin x cos y dy" =0 is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. Find the value ((1+sin((2pi)/9)+icos((2pi)/9))/(1+sin((2pi)/9)-icos((2...

    Text Solution

    |

  2. Let y=y (x) be the solution of differential equation , ( 2...

    Text Solution

    |

  3. The plane passing through the points ( 1,2,1) , (2,1,2) and pa...

    Text Solution

    |

  4. Let S be the set of all lamda in R for which the system of li...

    Text Solution

    |

  5. The domain of the function f(x) = sin ^(-1) ((|x| +5)/(x^2 +1))...

    Text Solution

    |

  6. Let A be a 2 xx 2 real matrix with entries from { 0,1} and ...

    Text Solution

    |

  7. If P (x) be a polynomial of degree three that has a local ma...

    Text Solution

    |

  8. IF the tangent to the curve y= x + sin y at a point ( a, b...

    Text Solution

    |

  9. The contrapostive of the statement " if I reach the station in ...

    Text Solution

    |

  10. Let p ( h,k) be a point on the curce y = x^2 + 7x + 2 , ne...

    Text Solution

    |

  11. If R = {( x,y ) : x,y,in Z , x^2 + 3y^2 le 8} is a relation o...

    Text Solution

    |

  12. Box I contains 30 cards numbered 1 to 30 and box II contains ...

    Text Solution

    |

  13. Let X = {x in N : 1 le x le 17 } and Y ={ax + b : x in X...

    Text Solution

    |

  14. Let alpha and beta be the roots of the equation 5x^2 + 6x-...

    Text Solution

    |

  15. The sum of the first three terms of a G.P is S and their pr...

    Text Solution

    |

  16. If |x|<1a n d|y|<1, find the sum of infinity of the following series: ...

    Text Solution

    |

  17. Area ( in , sq units ) of the region outside (|x|)/(2) +(|y|)/...

    Text Solution

    |

  18. Let alpha gt beta gt 0 be such that alpha^3 + beta ^2 = 4. ...

    Text Solution

    |

  19. A line parallel to the straight line 2x-y=0 is tangent to the hypernol...

    Text Solution

    |

  20. If a function f(x) defined by f(x) ={{:(ae^(X) + be ^(-x ) , -1le...

    Text Solution

    |