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

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

Text Solution

Verified by Experts

The correct Answer is:
`y=sin x +2/x cos x - (2)/(x^(2))sin x + c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (i) Long Answer Type Questions (II)|7 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (j) Long Answer Type Questions (I)|11 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (i) Short Answer Type Questions|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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

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

Solve the following differential equation: x(dy)/(dx)+cot y=0

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

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (i) Long Answer Type Questions (I)
  1. अवकल समीकरण को हल कीजिए- (dy)/(dx)+y tan x=2 x +x^(2)tan x

    Text Solution

    |

  2. Solve the differential equation: (dy)/(dx)+ycotx=2cosx

    Text Solution

    |

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

    Text Solution

    |

  4. Solve the following differential equations (dy)/(dx)+(1)/(x)y = cos ...

    Text Solution

    |

  5. (dy)/(dx)+ysecx=tanx

    Text Solution

    |

  6. x (dy)/(dx) + y = x logx

    Text Solution

    |

  7. Solve the differential equation x\ dy/dx - y = log |x|, given that y(1...

    Text Solution

    |

  8. Solve the differential equation : x(dy)/(dx)+y-x+xycotx=0, x ne 0.

    Text Solution

    |

  9. Solver the following differential equation : (1) x(dy)/(dx) + 2y =x^...

    Text Solution

    |

  10. find the solution of the following differential equation x logx (dy)/...

    Text Solution

    |

  11. Solve: (xlogx)(dy)/(dx)+y=2/xlogx

    Text Solution

    |

  12. Solving the following differentia equation: "s i n x"("dy")/("dx")+...

    Text Solution

    |

  13. Find the general solution of the following differential equations (x...

    Text Solution

    |

  14. Solve the following differential equations : (dy)/(dx)-(2x)/(1+x^(2...

    Text Solution

    |

  15. Find the general solution of the following differential equations (1...

    Text Solution

    |

  16. Solve: (1+x^2)(dy)/(dx)+2xy=cosx

    Text Solution

    |

  17. (1-x^2) dy/dx-xy=1

    Text Solution

    |

  18. y dx+(x-y^2)dy=0

    Text Solution

    |

  19. y dx - (x + 2y^(2)) dy = 0

    Text Solution

    |

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

    Text Solution

    |