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

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

Text Solution

Verified by Experts

`` Given equation can be written as,

`x frac{d y}{d x}=(2 y+2 x^{4}+x^{2})`

`` This is a linear differential equation.

Comparing it with,

`` `frac{d y}{d x}+P y=Q `

...
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 equation: x(dy)/(dx)-y=x^2

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

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

Solve the following differential equation (x^2+xy)dy=(x^2+y^2)dx

Solve the following differential equations : x (dy)/(dx)+2y=x^(2)(x !=0)

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

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

Solve the following differential equations : (dy)/(dx)+3y=2x .

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

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

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

    Text Solution

    |

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

    Text Solution

    |

  3. Solve the following differential equation: x\ dy=(2y+2x^4+x^2)dx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Solve the differential equation sinx(dy)/(dx)+ycosx=2sin^2xcosx

    Text Solution

    |

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

    Text Solution

    |

  8. Solve the following differential equation: 4(dy)/(dx)+8y=5\ e^(-3x)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |