Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `(dy)/(dx)=y/x+(varphi(y/x))/(varphi^(prime)(y/x))` is
a. `varphi(y/x)=k x`
b. `x \ varphi\ (y/x)=k`
c. `varphi\ (y/x)=k y`
d. `y \ varphi(y/x)=k`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation x(dy)/(dx)=y-xtan(y/x) , is

The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'(y/x)) is

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

The general solution of the differential equation (dy)/(dx) +x (x+y)=x (x+y) ^(3)-1 is:

Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(xsin^2(x^2+y^2))/(y^3) .

The solution of the differential equation (x)/(x^(2)+y^(2))dy = ((y)/(x^(2)+y^(2))-1)dx , is

Show that y=c x+a/c is a solution of the differential equation y=x(dy)/(dx)+a/((dy)/(dx))dot

Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y)(x+y)-x)dy=0 is

The solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx)) = x(cos^(2)(x^(2)+y^(2))/(y^(3))) is

The solution of differential equation x sec((y)/(x))(y dx + x dy)="y cosec"((y)/(x))(x dy - y dx) is

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. The differential equation which represents the family of curves y=e...

    Text Solution

    |

  2. Which of the following transformations reduce the differential equatio...

    Text Solution

    |

  3. The solution of the differential equation (dy)/(dx)=y/x+(varphi(y/x))/...

    Text Solution

    |

  4. If m\ a n d\ n are the order the degree of the differential equation (...

    Text Solution

    |

  5. The solution of the differential equation (dy)/(dx)+1=e^(x+y), is a. (...

    Text Solution

    |

  6. The solution of x^2+y^2(dy)/(dx)=4 is a. x^2+y^2=12 x+C b. x^2+y^2=3...

    Text Solution

    |

  7. The family of curves in which the sub tangent at any point of a curve ...

    Text Solution

    |

  8. The solution of the differential equation x\ dx+y\ dy=x^2y\ dy-y^2x\ d...

    Text Solution

    |

  9. The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 i...

    Text Solution

    |

  10. The differential equation x(dy)/(dx)-y=x^2, has the general solution ...

    Text Solution

    |

  11. The solution of the differential equation dy/dx-ky=0, y(0)=1, approach...

    Text Solution

    |

  12. The solution of the differential equation (1+x^2)(dy)/(dx)+1+y^2=0, is...

    Text Solution

    |

  13. The solution of the differential equation (dy)/(dx)=(x^2+x y+y^2)/(x^2...

    Text Solution

    |

  14. The differential equation (dy)/(dx)+P y=Q y^n ,\ n >2 can be reduced t...

    Text Solution

    |

  15. If p \ "and" \ q are the order and degree of the differential equation...

    Text Solution

    |

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

    Text Solution

    |

  17. Solve: dy / dx + y secx = tanx

    Text Solution

    |

  18. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

    Text Solution

    |

  19. The degree of the differential equation ((d^2y)/(dx^2))^3+((dy)/(dx)...

    Text Solution

    |

  20. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

    Text Solution

    |