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

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

A

` y = Cxe^(-x)`

B

` 2y = Cxe^(-x)`

C

` y = 3Cxe^(-x)`

D

` y^(2)= Cxe^(-x)`

Text Solution

Verified by Experts

The correct Answer is:
a
` y dx - x dy = xy dx`
` rArr (y dx - x dy)/(y^(2)) = x/y dx rArr int (d(x/y))/(x/y) = int dx `
` rArr log_(e) (x/y) + log_(e) C = x rArr log_(e) ((Cx)/y)=x`
` rArr y = Cx*e^(-x) `
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

If C is an arbitrary constant , then the general solution of the differential equation y dx - x dy = xy dx is given by

The soluiton of the differential equation y dx- x dy = xy dx is ……

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

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

What is the solution of the differential equation (x + y) (dx- dy) = dx + dy ?

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

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. Form the differential equation of family of lines situated at a con...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. 8 The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A solution of y=2x (dy/dx) + x^2(dy/dx)^4 is

    Text Solution

    |