Home
Class 12
MATHS
Show that the following equations are ho...

Show that the following equations are homogeneous and solve each of them.
`y' = (x+y)/x`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    V PUBLICATION|Exercise QUESTION BANK|136 Videos

  • INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|396 Videos

Similar Questions

Explore conceptually related problems

Show that the following equations are homogeneous and solve each of them. (x - y)dy - (x + y)dx = 0

Show that the following equations are homogeneous and solve each of them. (x^2 + xy)dy = (x^2 + y^2)dx

Show that the following equations are homogeneous and solve each of them. (1 + e^(x/y))dx + e^(x/y)(1-x/y)dy = 0

Show that the following equations are homogeneous and solve each of them. (x^2 - y^2)dx + 2xy dy = 0

Show that the following equations are homogeneous and solve each of them. x dy - y dx = sqrt(x^2 + y^2) dx

Show that the following equations are homogeneous and solve each of them. x(dy)/(dx) - y + x sin(y/x) = 0

Which of the following is a homogeneous differential equation? (4 x+6 y+5) d y-(3 y+2 x+4) d x=0 x y d x-(x^3+y^3) d y=0 (x^3+2 y^2) d x+2 x y d y=0 y^2 d x+(x^2-x y-y^2) d y=0

Solve the DE dy/dx=(x+y)/(x-y)

Solve the following system of equations using matrix method. 2 x+5 y=1 , 3 x+2 y=7

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

V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Show that the differential equation x cos(y/x)(dy)/(dx) = y cos(y/x) +...

    Text Solution

    |

  2. solve the differential equation (x^2+x y) d y=(x^2+y^2) d x

    Text Solution

    |

  3. Show that the following equations are homogeneous and solve each of th...

    Text Solution

    |

  4. Show that the following equations are homogeneous and solve each of th...

    Text Solution

    |

  5. solve the differential equation (x^2-y^2) d x+2 x y d y=0

    Text Solution

    |

  6. solve x^2 (dy)/(dx)=x^2-2 y^2+x y

    Text Solution

    |

  7. Consider the DE xdy-ydx=sqrt(x^2+y^2)dx Find the general solution.

    Text Solution

    |

  8. {x cos (y/x)+y sin (y/x)} y d x={y sin (y/x)-(x) cos (y/x)} x d y

    Text Solution

    |

  9. x (dy)/(dx)-y+x sin (y/x)=0

    Text Solution

    |

  10. solve y d x+x log (y/x) d y-2 x d y=0

    Text Solution

    |

  11. Show that the following equations are homogeneous and solve each of th...

    Text Solution

    |

  12. solve (x+y) d y+(x-y) d x=0 , y=1 when x=1

    Text Solution

    |

  13. solve x^2 d y+(x y+y^2) d x=0 , y=1 when x=1

    Text Solution

    |

  14. Find the particular solution of the following equation satisfying the ...

    Text Solution

    |

  15. solve (dy)/(dx)-y/x+cosec(y/x)=0 y=0 when x=1

    Text Solution

    |

  16. 2 x y+y^2-2 x^2 (dy)/(dx)=0 , y=2 when x=1

    Text Solution

    |

  17. A homogeneous differential equation of the form (dx)/(dy) = h(x/y) can...

    Text Solution

    |

  18. Which of the following is a homogeneous differential equation? (4 x+6 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |