Home
Class 12
MATHS
The general solution of equation (dy)/(d...

The general solution of equation `(dy)/(dx)+y= sinx` is -

A

`y=ce^(-2x) +(1)/(4) sin x-(1)/(2)cosx`

B

`y=ce^(-x)`

C

`y=ce^(-x)+(1)/(2) sinx-(1)/(2) cosx `

D

`y=ce^(-x)+sinx`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

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

The solution of the equation dy/dx - 3 y = sin 2x is -

The solution of the equation (dy)/(dx)=cos(x-y) is

The general solution of the equation ydx+(x+cos y)dy=0 is

The solution of the equation log ((dy)/(dx))=a x+b y is

The general solution of the differential equation (dy)/(dx)+1="cosec"(x+y) is -

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

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

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

The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2x+2y+1) is

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

    Text Solution

    |

  2. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

    Text Solution

    |

  3. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

    Text Solution

    |

  4. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

    Text Solution

    |

  5. The value of int sqrt(e^(x)-1)dx is equal to -

    Text Solution

    |

  6. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

    Text Solution

    |

  7. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

    Text Solution

    |

  8. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

    Text Solution

    |

  9. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

    Text Solution

    |

  10. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

    Text Solution

    |

  11. State which of the following is correct : If f(x) is a continuous f...

    Text Solution

    |

  12. The integrating factor of the linear differential equation (1-x^(2))^...

    Text Solution

    |

  13. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

    Text Solution

    |

  14. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

    Text Solution

    |

  15. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

    Text Solution

    |

  16. The order of differential equations of all parabolas having directrix ...

    Text Solution

    |

  17. The general solution of equation (dy)/(dx)+y= sinx is -

    Text Solution

    |

  18. Solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2...

    Text Solution

    |

  19. The degree of the differential equation [1+((dy)/(dx))^(2)]^((3)/(4))...

    Text Solution

    |

  20. Given f(0)=0 and f(x)=(1)/(1-e^(-(1)/(x))) for x ne 0 . Then the fun...

    Text Solution

    |