Home
Class 12
MATHS
Solve the following differential equatio...

Solve the following differential equation: `(dy)/(dx)-ytanx=e^xsecx`

Text Solution

Verified by Experts

It is given, `\frac{d y}{d x}-y \tan x=e^{\pi} \sec x`
It is a first-degree linear D.E of the form $$ \frac{d y}{d x}+P y=Q $$ here `P=-\tan x \quad\text{and} \quad Q=e^{x} \sec x` $$ \begin{gathered} ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

Similar Questions

Explore conceptually related problems

Solve the following differential equations (dy)/(dx)=x

Solve the following differential equation: (dy)/(dx)+y=4x

Solve the following differential equation: x(dy)/(dx)-y=x^2

Solve the following differential equations: (dy)/(dx)-y=xe^(x)

Solve the following differential equation: (dy)/(dx)+y=sin x

Solve the following differential equation: (dy)/(dx)=tan(x+y)

Solve the following differential equations (dy)/(dx)=cotx

Solve the following differential equations: x(dy)/(dx)=x+y

Solve the following differential equation: (dy)/(dx)+2y=4x

Solve the following differential equation: (dy)/(dx)+y=e^(-2x)

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve the following differential equation: (x+y-1)dy=(x+y)dx

    Text Solution

    |

  2. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

    Text Solution

    |

  3. Solve the following differential equation: (dy)/(dx)-ytanx=e^xsecx

    Text Solution

    |

  4. Solve the following differential equation: (x^2+1)dy+(2y-1)dx=0

    Text Solution

    |

  5. Solve the differential equation: (2a x+x^2)\ (dy)/(dx)=a^2+2a x

    Text Solution

    |

  6. Solve the following differential equation: x^2dy+(x^2-x y+y^2)dx=0

    Text Solution

    |

  7. Solve the differential equation: (dy)/(dx)+2y=sin\ 3x

    Text Solution

    |

  8. Solve the differential equation: (dy)/(dx)+5y=cos4x

    Text Solution

    |

  9. Solve the differential equation: cos^2x(dy)/(dx)+y=tanx

    Text Solution

    |

  10. Solve the differential equation: (i) (1+y^2) + ( x - e^(tan^-1 y) ) d...

    Text Solution

    |

  11. Solve the differential equation: (dy)/(dx)+\ ytanx=x^ncosx ,\ n!=-1

    Text Solution

    |

  12. Find the general solution of the differential equation (dy)/(dx)=(x...

    Text Solution

    |

  13. Find the particular solution of the differential equation (dy)/(dx)...

    Text Solution

    |

  14. Find the general solution of the differential equations (dy)/(dx)=...

    Text Solution

    |

  15. Find the general solution of the differential equations (dy)/(dx)=...

    Text Solution

    |

  16. Find the general solution of the differential equations (dy)/(dx)=...

    Text Solution

    |

  17. Find the general solution of the differential equations frac{dy}{dx...

    Text Solution

    |

  18. Find the general solution of the differential equations y log y dx ...

    Text Solution

    |

  19. Find the general solution of the differential equations (dy)/(dx)+...

    Text Solution

    |

  20. The differential equations, find a particular solution satisfying t...

    Text Solution

    |