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 `sin (dy)/(dx)+y cos x=4x, x in (0,pi)` If y(pi/2)=0`, then `y(pi/6)` is equal to

A

`(-8)/(9sqrt3)pi^2`

B

`-8/9pi^2`

C

`-4/9pi^2`

D

`4/(9sqrt3)pi^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|99 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

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

Let y = y (x) be the solution of the differential equation cos x (dy)/(dx) + 2y sin x = sin 2x , x in (0, pi/2) . If y(pi//3) = 0, " then " y(pi//4) is equal to :

The solution of the differential equation x sin d (dy)/(dx) + ( x cos x + sin x ) y = sinx . When y (0)=0 is

Let y = y (x) be the solution of the differential equation xdy = (y + x^3 cos x)dx with y( pi ) = 0, then y ((pi)/(2)) is equal to

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

If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equation sec y (dy)/(dx)- sin (x+y) - sin (x-y)= 0 , with y(0)= 0, then 5y'((pi)/(2)) is equal to _____

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

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

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

    Text Solution

    |

  2. The solution of (y-3x^2)dx +xdy=0 is

    Text Solution

    |

  3. The solution of the equation (x-4y^3)"dy"/"dx"-y=0, (y gt 0) is

    Text Solution

    |

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

    Text Solution

    |

  5. The general solution of the DE (dy)/(dx) + (y)/(x) = x ^(2) is

    Text Solution

    |

  6. The solution of differential equation cos x dy = y (sin x - y ) dx,...

    Text Solution

    |

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

    Text Solution

    |

  8. The solution of (dy)/(dx) + y tan x = sec x is

    Text Solution

    |

  9. The solution of the differential equation (dy)/(dx)+y/(x loge x)=1/x, ...

    Text Solution

    |

  10. Let y(x) be the solution of the differential equation ( x log ...

    Text Solution

    |

  11. Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x ...

    Text Solution

    |

  12. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

    Text Solution

    |

  13. If x(t) is a solution of ((1+t)dy)/(dx)-t y=1 and y(0)=-1 then y(1)...

    Text Solution

    |

  14. Solve the differential equation "dy=cos x(2-y cosec x)dx" given that y...

    Text Solution

    |

  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  16. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

    Text Solution

    |

  17. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c...

    Text Solution

    |

  18. The population of a city increases at the rate 3% per year. If at time...

    Text Solution

    |

  19. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  20. Let the population of rabbits surviving at a time t be governed by ...

    Text Solution

    |