Home
Class 12
MATHS
The solution of (dy)/(dx) + x sin 2y = x...

The solution of `(dy)/(dx) + x sin 2y = x^(3) cos^(2) y` is

A

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

B

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

C

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

D

`tan y = (x^(3))/(2) - (1)/(3) + ce^(-x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 Videos

Similar Questions

Explore conceptually related problems

The solution of 2x(dy)/(dx) + y = 2x^(3) is

The solution of x(dy)/(dx) + 2y = x^(2) log x is

The solution of x(dy)/(dx) +y = x Cos x is

The solution of (dy)/(dx) = cos(x+y) is

The solution of cos x(dy)/(dx) + y = sin x is

The solution of (dx)/(dy) + (x)/(y) = x^(2) is

The solution of sec x(dy)/(dx) = y + sin x is

The solution of (dy)/(dx) + y cos x = sin x cos x is

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. Integrating factor of (x + 2y^(3)) (dy)/(dx) = y^(2) is

    Text Solution

    |

  2. The solution of the differential equation y' = (1)/(e^(-y) - x), is

    Text Solution

    |

  3. The solution of (dx)/(dy) + (x)/(y) = x^(2) is

    Text Solution

    |

  4. The solution of (1 + y^(2)) dx = (Tan^(-1) y -x) dy is

    Text Solution

    |

  5. The solution of (dy)/(dx) + (2x)/(1 + x^(2)) y = (1)/((1 + x^(2))^(2))...

    Text Solution

    |

  6. The solution of x (dy)/(dx) + y log y = xy e^(x) is

    Text Solution

    |

  7. The solution of (dy)/(dx) = e^(x-y) (e^(x) - e^(y)) is

    Text Solution

    |

  8. The solution of (dy)/(dx) + x sin 2y = x^(3) cos^(2) y is

    Text Solution

    |

  9. The solution of cos y + (x sin y-1) (dy)/(dx) = 0 is

    Text Solution

    |

  10. Solution of the differential equation cos x dy = y (sin x-y) dx, 0 lt ...

    Text Solution

    |

  11. The solution of y'' + y' = 1 is

    Text Solution

    |

  12. The solution of y'' = y' tan x = sin x is

    Text Solution

    |

  13. The solution of x(dy)/(dx) + y = y^(2) log x is

    Text Solution

    |

  14. x^(2) y -x^(3) (dy)/(dx) = y^(4) cos x rArr x^(3) y^(-3) =

    Text Solution

    |

  15. The solution of the differential equation (1 + y^(2)) + (x- e^(Tan^(-1...

    Text Solution

    |

  16. The solution of (dy)/(dx) = 1 -x(y-x) - x^(3) (y-x)^(3) is

    Text Solution

    |

  17. The solution of (1)/(y^(2)) (dy)/(dx) + (1)/(xy) =1 is

    Text Solution

    |

  18. The solution of 2y cos y^(2) (dy)/(dx) - (2)/(x +1) sin y^(2) = (x + 1...

    Text Solution

    |

  19. The solution of (dy)/(dx) + (1)/(x) = (e^(y))/(x^(2)) is

    Text Solution

    |

  20. If a curve y = f (x ) passes through the point (1 , -1) and satisfies...

    Text Solution

    |