Home
Class 12
MATHS
Solve the differential equation: (1+x^2)...

Solve the differential equation: `(1+x^2) dy/dx + y = tan^-1 x`

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 the differential equation (1+x^2)dy/dx=x

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

Solve the differential equation: (1+y^2) dx/dy + x = e^(tan^(-1)y)

Solve the differential equation: (x+y)(dy)/(dx)=1

Solve the differential equation : (1 - x^(2)) (dy)/(dx) - xy = x

Solve the differential equation (1+x^(2))(dy)/(dx)=x .

Solve the differential equation (x+y)dy=(x-y)dx

Solve the differential equation (2 + x) dy = (1 + y) dx

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

Solve the differential equation: (i) (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx = 0 (ii) x dy/dx + cos^2 y = tan y dy/dx

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

    Text Solution

    |

  2. Solve the following differential equation: (dy)/(dx)+y=sinx

    Text Solution

    |

  3. Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

    Text Solution

    |

  4. The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Solve differential equation: (x^2-1)(dy)/(dx)+2(x+2)y=2\ (x+1)

    Text Solution

    |

  8. Solve differential equation (x+2y^2)(dy)/(dx)=y , given that when x=2,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find one parameter families of solution curves of the differential equ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |