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

Solve the following differential equations
`(x dy -y dx)y sin (y/x)= (y dx + x dy)x cos (y/x)`.

Text Solution

Verified by Experts

The correct Answer is:
`sec(y/x)= cxy`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

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

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (i) Long Answer Type Questions (I)|53 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (g) Long Answer Type Questions (I)|14 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 equations : x (dy)/(dx)=y-x

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

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

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

Solve the following differential equations : (dy)/(dx)=y-2 sin x .

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

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

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

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

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

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (h) Long Answer Type Questions (I)
  1. Solve the following differential equations : (x+y)dy+(x-y)dx=0, g...

    Text Solution

    |

  2. Solve the following differential equations : x^(2)dy=(2xy+y^(2))dx,...

    Text Solution

    |

  3. Solve : x (dy)/(dx)-y=sqrt(x^(2)+y^(2)), x!=0

    Text Solution

    |

  4. Solve x\ dy-y\ dx=sqrt(x^2+y^2)dx

    Text Solution

    |

  5. x(dy)/(dx)-y+xsiny/x=0

    Text Solution

    |

  6. (xcosy/x)(dy)/(dx)=(ycosy/x)+x

    Text Solution

    |

  7. Show that the following differential equations are homogeneous and sol...

    Text Solution

    |

  8. Show that the given differential equation is homogeneous and solve ea...

    Text Solution

    |

  9. Solve the following differential equations (x dy -y dx)y sin (y/x)= ...

    Text Solution

    |

  10. Find the particular solution of eh differential equation (dy)/(dx)=...

    Text Solution

    |

  11. Find the particular solution of the differential equation {xsin^(2)y/x...

    Text Solution

    |

  12. Find the particular solution of the differential equation x(dy)/(dx)=y...

    Text Solution

    |

  13. Show that the differential equation x(dy)/(dx)sin(y/x)+x-ysin(y/x)=0 i...

    Text Solution

    |

  14. Find the particular solution of the differential equation (xe^(y//x)+y...

    Text Solution

    |

  15. Show that the differential equation 2y e^(x/y)dx+(y-2x e^(x/y))dy=0 i...

    Text Solution

    |

  16. Find the particular solution of the differential equation : (x dy - ...

    Text Solution

    |

  17. (dy)/(dx)=(y)/(x)+tan((y)/(x))

    Text Solution

    |

  18. Solve: x (dy)/(dx)- y-x tan . (y/x). = 0

    Text Solution

    |

  19. Show that the family of curves for which the slope of the tangent a...

    Text Solution

    |

  20. Show that the family of curves for which the slope of the tangent a...

    Text Solution

    |