Home
Class 12
MATHS
The solution of (y - (xdy)/dx)= 3 (1-x...

The solution of ` (y - (xdy)/dx)= 3 (1-x^(2)(dy)/(dx))` is

A

`(y+3)(1-3x)=Cx`

B

`(y-3)=3xy+Cx`

C

`(y+3)(1+3x)=Cx`

D

`y+3=3xy-Cx`

Text Solution

Verified by Experts

The correct Answer is:
b
` (ydx - xdy)/(dx) = 3(dx - x^(2)dy)/(dx)`
` rArr (ydx - xdy )/(x^(2)) = 3 ((dx)/(x^(2)) - dy)`
` rArr int - d (y/x) = int 3 ((dx)/(x^(2))-dy)`
` rArr -y/3 = -3/x -3y -C`
` y = 3 +3xy + Cx`
` rArr y - 3 = 3xy Cx`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

  • DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|22 Videos

  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORER|35 Videos

Similar Questions

Explore conceptually related problems

(y-x(dy)/(dx))=3(1-x^(2)(dy)/(dx))

The solution of (x+y) (dy)/(dx)=1 is

The solution of y-x((dy)/(dx))=a(y^(2)+((dy)/(dx))) is

The solution of (x+y+1)(dy)/(dx) = 1 is

The solution of (dy)/(dx)=(1-y)/(1-x) is

" The solution of "(dy)/(dx)=(1-y)/(1-x)

Solution of (dy)/(dx)= 3^(x+y) is

The solution of (y-3x^2)dx +xdy=0 is

The Solution of (dy)/(dx)=(1-y)/(1-x) is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. The solution of differential equation t = 1 + (ty)(dy)/(dt) + (ty)...

    Text Solution

    |

  2. Form the differential equation of family of lines situated at a con...

    Text Solution

    |

  3. The solution of (y - (xdy)/dx)= 3 (1-x^(2)(dy)/(dx)) is

    Text Solution

    |

  4. The solution of the differential equation y dx - x dy = xy dx is

    Text Solution

    |

  5. A tangent and a normal to a curve at any point P meet the x and y axes...

    Text Solution

    |

  6. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

    Text Solution

    |

  7. Let y = f(x) be a curve passing through (e,e^( e )) which satisfy the...

    Text Solution

    |

  8. The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2...

    Text Solution

    |

  9. Find the equation of the curve such that the portion of the x-axis ...

    Text Solution

    |

  10. The solution of the differential equation ye^(x//y)dx=(xe^(x//y)+y^(...

    Text Solution

    |

  11. The solution of the differential equation x (dy)/(dx) - y + x sin ...

    Text Solution

    |

  12. The solution of the differential equation x dx + y dy+ (x dy - y d...

    Text Solution

    |

  13. Observe the following statement . I . If dy + 2xy dx = 2e^(-x^(2))...

    Text Solution

    |

  14. The solution of x (dy)/(dx) = y+2 sqrt(y^(2)-x^(2)) is

    Text Solution

    |

  15. Solution of x (dy)/(dx) + y = x^(2) y^(4) is

    Text Solution

    |

  16. The solution of differential equation (dt)/(dx) = (t[d/dx{g(x)}]-...

    Text Solution

    |

  17. The differential equation y(dy)/(dx) + x = c represents

    Text Solution

    |

  18. 8 The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'...

    Text Solution

    |

  19. The general solution of (dy)/(dx) = 2x e^(x^(2)-y) is

    Text Solution

    |

  20. The solution of the differential equation (dy)/(dx) = (x(2 log x...

    Text Solution

    |