Home
Class 12
MATHS
Solver the following differential equati...

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

Text Solution

Verified by Experts

The correct Answer is:
`y=1/4 x^(2)log x - 1/16 x^(2)+cx^(-2)`
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: x(dy)/(dx)+y=x log x

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

Solve the following differential equation: (dy)/(dx)=x log x

Solve the following differential equations: (x+y)^(2)(dy)/(dx)=1

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

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 equation: x(dy)/(dx)+y=x log x;x!=0

Solve the following differential equation y log y (dx)/(dy) = log y - x

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

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (i) Long Answer Type Questions (I)
  1. Solve the differential equation x\ dy/dx - y = log |x|, given that y(1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. (1-x^2) dy/dx-xy=1

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Solve the following initial value problems : (dy)/(dx)=2x+y, given t...

    Text Solution

    |

  17. Solve the following initial value problems : x(dy)/(dx)+y=x^(3),y(2)...

    Text Solution

    |

  18. Solve the following initial value problems : x(dy)/(dx)+2y=x^(2),y(1...

    Text Solution

    |

  19. Solve the following initial value problems : x (dy)/(dx)+2y=x^(2)(x ...

    Text Solution

    |

  20. Solve each of the following initial value problem: x(dy)/(dx)+y=xcosx+...

    Text Solution

    |