Home
Class 12
MATHS
Show that the differential equation x-co...

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

Text Solution

Verified by Experts

The correct Answer is:
`"sin"y/x=log[cx]`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTAL QUATIONS

    ACCURATE PUBLICATION|Exercise TYPE-III:TRUE OR FALSE QUESTIONS|26 Videos

  • DETERMINANTS

    ACCURATE PUBLICATION|Exercise (Question carrying 6 marks)|7 Videos

  • DIFFERENTIABILITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equations: (x-y)((dy)/(dx))=x+3y

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

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

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

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

ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-QUESTIONS CARRYING 4 MARKS
  1. Solve the differential equation xdy - ydx = sqrt(x^2+y^2)dx

    Text Solution

    |

  2. Solve the following differential equations ( x sin"" (y)/( x)) dy =...

    Text Solution

    |

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

    Text Solution

    |

  4. Solve the following differential equation: [y-xcos(y/x)]dy+[ycos(y/x...

    Text Solution

    |

  5. For the differential equation, find the particular solution satisfying...

    Text Solution

    |

  6. For each of the differential equations, find the particular solution s...

    Text Solution

    |

  7. For each of the differential equations, find the particular solution s...

    Text Solution

    |

  8. Solve : x log x dy/dx+y=2/x log x.

    Text Solution

    |

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

    Text Solution

    |

  10. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

    Text Solution

    |

  11. Solve the following differential equations x dy - (y+ 2x^2) dx =0

    Text Solution

    |

  12. Find a one parameter family of solutions of each of the following diff...

    Text Solution

    |

  13. Solve: (dy)/(dx)+ysecx=tanx

    Text Solution

    |

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

    Text Solution

    |

  15. The solution of (1+x^(2))(dy)/(dx)+y=e^(tan-1x), is given by

    Text Solution

    |

  16. Solve the following differential equation (1+y^(2))dx=(tan^(-1)y-x)d...

    Text Solution

    |

  17. Find the particular solution of the differential equation (y-sinx)dx+(...

    Text Solution

    |

  18. Find the particular solution of the differential equation (dx)/(dy) + ...

    Text Solution

    |

  19. Solve: (dy)/(dx)+2ytanx=sinx,y=0 when x=(pi)/3

    Text Solution

    |

  20. Find the particular solution of the differential equation (x + 1)dy/dx...

    Text Solution

    |