Home
Class 12
MATHS
Obtain the general solution of the follo...

Obtain the general solution of the following differential equations.
`tan y dx+cot x dy=0

Text Solution

Verified by Experts

tan y dx+cot x dy=0
`rArr tan xcdotdx+cot y dy =0`
`rArrint tan xdx+intcot y dy =0`
`-In cos x +In sin y =In C`
`In siny/cosx=InC`
`rArr siny/cosx=C rArr sin y=C cosx`
Promotional Banner

Topper's Solved these Questions

  • DETERMINATES

    MBD PUBLICATION|Exercise QUESTION BANK|176 Videos

  • Elements of Mathematics

    MBD PUBLICATION|Exercise QUESTION BANK|48 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the following differential equation. dy/dx=xcosx

Obtain the general solution of the following differential equations. y dy+e^(-y)x sinx dx =0

Obtain the general solution of the following differential equations. dy/dt=e^(2t+3y)

Obtain the general solution of the following differential equations. dy/dx=(xlogx)/(3y^2+4y)

Obtain the general solution of the following differential equations. dy/dx(x^2+1)(y^2+1)

Obtain the general solution of the following differential equations. (x^2+7x+12)dy+(y^2-6y+5)dx=0

Obtain the general solution of the following differential equations. x^2sqrt(y^2+3)dx+ysqrt(x^3+1)dy=0

MBD PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Obtain the general solution of the following differential equations. d...

    Text Solution

    |

  2. Obtain the general solution of the following differential equations. x...

    Text Solution

    |

  3. Obtain the general solution of the following differential equations. t...

    Text Solution

    |

  4. Obtain the general solution of the following differential equations. (...

    Text Solution

    |

  5. Obtain the general solution of the following differential equations. y...

    Text Solution

    |

  6. Solve the following second order equation (d^2y)/dx^2=12x^2+2x

    Text Solution

    |

  7. Solve the following second order equation (d^2y)/dt^2=e^(2t)+e^(-t)

    Text Solution

    |

  8. Solve the following second order equation (d^2y)/(dvartheta^2)=-sinva...

    Text Solution

    |

  9. Solve the following second order equation cosec x (d^2y)/dx^2=x

    Text Solution

    |

  10. Solve the following second order equation x^2(d^2y)/dx^2+2=0

    Text Solution

    |

  11. Solve the following second order equation secx(d^2y)/dx^2=sin3x

    Text Solution

    |

  12. Solve the following second order equation (d^2y)/dx^2=sec^2x+cos^2x

    Text Solution

    |

  13. Solve the following second order equation e^(-x)(d^2y)/dx^2=x

    Text Solution

    |

  14. Find the particularsolution of the following equation subject to the g...

    Text Solution

    |

  15. Find the particularsolution of the following equation subject to the g...

    Text Solution

    |

  16. Find the particularsolution of the following equation subject to the g...

    Text Solution

    |

  17. Find the particularsolution of the following equation subject to the g...

    Text Solution

    |

  18. Solve: dy/dx=sec(x+y)

    Text Solution

    |

  19. Solve: dy/dx=sin(x+y)+cos(x+y)

    Text Solution

    |

  20. Solve: dy/dx=cos(x+y)

    Text Solution

    |