Home
Class 12
MATHS
Solve each of the following initial valu...

Solve each of the following initial value problem: `y^(prime)+y=e^x ,\ y(0)=1/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

Solve each of the following initial value problems: x(dy)/(dx)+y=xlogx ,y(1)=1/4

Solve the following initial value problem: (dy)/(dx)=2e^x y^3,\ y(0)=1/2

Solve each of the following initial value problem: (x^2+y^2)dx=2x y\ dy ,\ y(1)=0

Solve each of the following initial value problem: (x-siny)dy+(tany)dx=0,\ y(0)=0

Solve the following initial value problem: (dy)/(dx)=ytanx ,\ y(0)=1

Solve the following initial value problem: cosy(dy)/(dx)=e^x ,\ y(0)=pi/2

Solve the following initial value problem: (dy)/(dx)=ysin2x ,\ y(0)=1

Solve the following initial value problem: (dy)/(dx)=ysin2x ,\ y(0)=1

Solve each of the following initial value problem: 2x^2(dy)/(dx)-2x y+y^2=0,\ y(e)=e

Solve the following initial value problem: 2x(dy)/(dx)=5y ,\ y(1)=1

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find one parameter families of solution curves of the differential equ...

    Text Solution

    |

  2. Find one parameter families of solution curves of the following differ...

    Text Solution

    |

  3. Solve each of the following initial value problem: y^(prime)+y=e^x ,\ ...

    Text Solution

    |

  4. Solve the following initial value problem: x(dy)/(dx)-y=logx ,\ y\ (1...

    Text Solution

    |

  5. Solve the following initial value problem: (dy)/(dx)+2y=e^(-2x)sinx ,\...

    Text Solution

    |

  6. Solve the following initial value problem: (1+y^2)dx+(x-tan^(-1)y)dy=0...

    Text Solution

    |

  7. Solve each of the following initial value problem: (dy)/(dx)+\ y\ t a ...

    Text Solution

    |

  8. Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\...

    Text Solution

    |

  9. Solve the initial value problem: x(dy)/(dx)+y=xcosx+sinx ,\ y\ (pi/2)=...

    Text Solution

    |

  10. Solve the following initial value problem: (dy)/(dx)+\ ycotx=4x\ cosec...

    Text Solution

    |

  11. Solve the following initial value problem: (dy)/(dx)+2ytanx=sinx ; y=0...

    Text Solution

    |

  12. Solve the initial value problem: (dy)/(dx)-3ycotx=sin2x ; y=2\ w h e n...

    Text Solution

    |

  13. Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\...

    Text Solution

    |

  14. Solve the initial value problem: dy=cos x\ (2-y\ cosec x)dx

    Text Solution

    |

  15. Find the general solution of the differential equation x(dy)/(dx)+2...

    Text Solution

    |

  16. Find the general solution of the differential equation (dy)/(dx)-y=...

    Text Solution

    |

  17. Solve the differential equation (y+3x^2)(dx)/(dy)=x .

    Text Solution

    |

  18. Find the particular solution of the differential equation (dx)/(dy)+xc...

    Text Solution

    |

  19. The temperature T of a cooling object drops at a rate proportional to ...

    Text Solution

    |

  20. The slope of the tangent to the curve at any point is reciprocal of tw...

    Text Solution

    |