Home
Class 12
MATHS
Find the general solution of the differ...

Find the general solution of the differential equations `e^xtanydx+(1-e^x)sec^2ydy=0`

Text Solution

AI Generated Solution

To solve the differential equation \( e^x \tan y \, dx + (1 - e^x) \sec^2 y \, dy = 0 \), we will follow these steps: ### Step 1: Rearranging the Equation We start by rearranging the equation to separate the variables \( x \) and \( y \): \[ e^x \tan y \, dx = - (1 - e^x) \sec^2 y \, dy \] This can be rewritten as: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|28 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.3|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise Exercise 9.2|12 Videos
  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equations sec^2xtany dx+sec^2ytanx dy=0

Find the general solution of the differential equations sec^2xtany dx+sec^2ytanx dy=0

Find the particular solution of the differential equation e^xtanydx+(2-e^x)sec^2ydy=0 , given that y=pi/4 when x=0

The solution of the differential equation 3e^x tan y dx+(1+e^x)sec^2 y dy=0 is

Find the general solution of the differential equations: (x+y)(dx)/(dy)=1

Find the general solution of the differential equations (dy)/(dx)=sin^(-1)x

Find the general solution of the differential equations: (dy)/(dx)+3y=e^(-2x)

Find the general solution of the differential equations (i) ydx+(x-y^(2))dy=0

Find the general solution of the differential equation (1+tany)(dx-dy)+2x dy=0

Find the general solution of the differential equation (1+tany)(dx-dy)+2x dy=0

NCERT ENGLISH-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
  1. Find the general solution of the differential equations y log y dx – ...

    Text Solution

    |

  2. Find the general solution of the differential equations sec^2xtany dx...

    Text Solution

    |

  3. The solution of the differential equation (e^x+e^(-x))dy-(e^x-e^(-x))d...

    Text Solution

    |

  4. Find the general solution of the differential equations '(dy)/(dx)=sq...

    Text Solution

    |

  5. Find the general solution of the differential equations (dy)/(dx)+y=1...

    Text Solution

    |

  6. Find the general solution of the differential equations (dy)/(dx)=(1-...

    Text Solution

    |

  7. In a bank principal increases at the rate of r% per year. Find the ...

    Text Solution

    |

  8. In a bank, principal increases continuously at the rate of 5% per y...

    Text Solution

    |

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

    Text Solution

    |

  10. In a culture, the bacteria count is 1,00,000. The number is increased...

    Text Solution

    |

  11. The volume of spherical balloon being inflated changes at a constant ...

    Text Solution

    |

  12. At any point (x, y) of a curve, the slope of the tangent is twice t...

    Text Solution

    |

  13. Find the equation of a curve passing through the point (0, 0) and wh...

    Text Solution

    |

  14. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  15. Find the equation of the curve passing through the point (0, -2) gi...

    Text Solution

    |

  16. For the differential equation x y(dy)/(dx)=(x+2)(y+2), find the solu...

    Text Solution

    |

  17. Find a particular solution satisfying the given condition : (x^(3)+x...

    Text Solution

    |

  18. Find the general solution of the differential equations e^xtanydx+(1-...

    Text Solution

    |

  19. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  20. For the differential equation, find a particular solution satisfying ...

    Text Solution

    |