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

Let `y=g(x)` be the solution of the differential equation `sinx ((dy)/(dx))+y cos x=4x, x in (0,pi)` If `y(pi/2)=0`, then `y(pi/6)` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

Solution of differential equation x^(2)y - x^(3) (dy)/(dx)=y^(4) cos x is

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

If y= y(x) is the solution of the differential equation dy/dx=(tan x-y) sec^(2)x, x in(-pi/2,pi/2), such that y (0)=0, than y(-pi/4) is equal to

Let y=y(x) be the solution of the differential equation, xy'-y=x^(2)(x cos x+sin x) If y(pi)=pi, then y'((pi)/(2))+y((pi)/(2)) is equal to :

Let y(x) be the solution of the differential equation (dy)/(dx)+(3y)/(cos^2x)=1/(cos^2x) and y(pi/4)=4/3 then vaue of y(-pi/4) is equal to (a) -4/3 (b) 1/3 (c) e^6+1/3 (d) 3

Let y=y(x) be the solution of the differential equation, dy/dx+y tan x=2x+x^(2)tanx, x in(-pi/2,pi/2), such that y(0)= 1. Then

If y = y ( x ) is the solution of differential equation sin y (dy ) /(dx ) - cos y = e ^ ( - x ) such that y ( 0 ) = ( pi ) /(2) then y (A) is equal to

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. If a triangle is inscribed in a rectangular hyperbola, it’s orhtocente...

    Text Solution

    |

  2. A box contains 5 different res and 6, different whit balls. In how man...

    Text Solution

    |

  3. Let y=g(x) be the solution of the differential equation sinx ((dy)/(...

    Text Solution

    |

  4. The sum of the co-efficients of all odd degree terms in the expansion ...

    Text Solution

    |

  5. Let S={t in R: f(x)=|x-pi|(e^(|x|)-1)sin|x| is not differentiable at t...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  8. A straight line through a fixed point (2,3) intersects the coordinate ...

    Text Solution

    |

  9. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  10. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |

  11. Let f(x)=x^2+ 1/x^2 and g(x)=x-1/x, x in R-{-1,0,1}. If h(x) = f(x)/...

    Text Solution

    |

  12. Let the orthocentre and centroid of a triangle be A(-3,5) and B(3,3) ...

    Text Solution

    |

  13. If L1 is the line of intersection of the planes 2x-2y+3z-2=0x-y+z+1=0 ...

    Text Solution

    |

  14. The length of the projection of the line segment joining the points (5...

    Text Solution

    |

  15. The integral int (sin^2xcos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^...

    Text Solution

    |

  16. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  17. A bag contains 4 red and 6 blach balls O balls is drawn at random from...

    Text Solution

    |

  18. PQR is a triangular park with PQ=PR=200m . A T.V tower stands at the m...

    Text Solution

    |

  19. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  20. If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos...

    Text Solution

    |