Home
Class 12
MATHS
Show that the differential equation (dy)...

Show that the differential equation `(dy)/(dx)=(y-x)/(y+x)` is homogenous and solve it.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar (Example)|3 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (a) Short Answer Type Questions|36 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|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

Show that the differential equation x(dy)/(dx)=y-x tan(y/x) is homogenous and solve it.

Show that the differential equation ((x-y)dy)/(dx)=x+2y, is homogeneous and solve it.

Show that the differential equation (x-y)(dy)/(dx)=x+2y

Show that the differential equation (dy)/(dx)=(y^(2))/(xy-x^(2)) is homogeneous and also solve it

Show that the differential equation 2x^(2)(dy)/(dx)-2xy+y^(0)=0 is homogeneous and solve it.

Show that the differential equation (y^(2)-x^(2))dy=3xydx is homogenous and solve it

Show that the differential equation x^(2)(dy)/(dx)=(x^(2)-2y^(2)+xy) is homogenous and solve it.

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

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

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

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. Find the particular solution of the differential equation (1-y^2)(1+lo...

    Text Solution

    |

  2. Find the particular solution of the differential equation log(dy)/(...

    Text Solution

    |

  3. Show that the differential equation (dy)/(dx)=(y-x)/(y+x) is homogenou...

    Text Solution

    |

  4. (x^2+x y)dy=(x^2+y^2)dx

    Text Solution

    |

  5. Show that the differential equation (x^(2)+xy)dy=(x^(2)+y^(2))dx is ho...

    Text Solution

    |

  6. Solve : (dy)/(dx)=(y^(3)+2x^(2)y)/(x^(3)+2xy^(2)).

    Text Solution

    |

  7. An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx ...

    Text Solution

    |

  8. Solve : (x cos. y/x) ( y dx + x dy) = ( y sin. y/x) (x dy- y dx).

    Text Solution

    |

  9. The differential equations , find the particular solution satisfyin...

    Text Solution

    |

  10. Solve the following differential equation: x ylog(x/y)dx+{y^2-x^2log(x...

    Text Solution

    |

  11. Solve the following differential equation: x(dy)/(dx)-y+xsin(y/x)=0

    Text Solution

    |

  12. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

    Text Solution

    |

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

    Text Solution

    |

  14. (x log x ) (dy)/(dx) + y = 2 log x

    Text Solution

    |

  15. Solve the differential equation : x dy/dx+3y=logx/x^3.

    Text Solution

    |

  16. Find the general solution of the differential equations:x(dx)/(dy)+y-...

    Text Solution

    |

  17. xdy + (y - x ^(3)) dx =0

    Text Solution

    |

  18. secx (dy)/(dx) -y = sin x

    Text Solution

    |

  19. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

    Text Solution

    |

  20. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

    Text Solution

    |