Home
Class 12
MATHS
If dy/dx=(e^y-x)^(-1), where y(0)=0 , ...

If `dy/dx=(e^y-x)^(-1),` where `y(0)=0` , then `y` is expressed explicitly as

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx)=e^(x-y)+1

(dy)/(dx)+1=e^(x-y)

(dy)/(dx)=e^(x-y)+x^(2)e^(-y)

(dy)/(dx)=e^(x+y)+x^(2)e^(y)

(dy)/(dx)+(y(y-1))/((x-1))=0

If (dy)/(dx)-y log_(e) 2 =0 , then y =

If y=(1+x^2)/(1+x) ,then dy/dx at x=0 is

(dy)/(dx)=(y(2y-x))/(x(2y+x))=0 , given y=1, when x=1

If x=e^(y+e^(y+e^y....oo) , where x > 0,then find (dy)/(dx)

Find dy/dx where y=e^ (x^4)

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The form of the differential equation of the central conics a x^2+b...

    Text Solution

    |

  2. The differential equation for the family of curve x^2+y^2-2a y=0, whe...

    Text Solution

    |

  3. If dy/dx=(e^y-x)^(-1), where y(0)=0 , then y is expressed explic...

    Text Solution

    |

  4. If y=x/(log|cx|) (where c is an arbitrary constant) is the genera...

    Text Solution

    |

  5. Differential equation of the family of circles touching the line y=...

    Text Solution

    |

  6. The differential equation of all parabolas whose axis are parallel ...

    Text Solution

    |

  7. A differential equation associated to the primitive y=a+b e^(5x)+c...

    Text Solution

    |

  8. The order and degree of the differential equation of all tangent li...

    Text Solution

    |

  9. A solution of the differential equation, ((dy) /( dx))^2- x ( dy ) /( ...

    Text Solution

    |

  10. A curve y=f(x) passes through the origin. Through any point (x , y) on...

    Text Solution

    |

  11. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  12. If length of tangent at any point on the curve y=f(x) intercepted be...

    Text Solution

    |

  13. For the primitive integral equation y dx+y^2dy=xdy ; x in R ,y >0,y(1...

    Text Solution

    |

  14. The solution of the primitive integral equation (x^2+y^2)dy=x ydx is ...

    Text Solution

    |

  15. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2) eq...

    Text Solution

    |

  16. If y(t) is a solution of (1+t)dy/dt-t y=1 and y(0)=-1 then y(1) ...

    Text Solution

    |

  17. The slope of the tangent at (x , y) to a curve passing through (1,p...

    Text Solution

    |

  18. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a f...

    Text Solution

    |

  19. Spherical rain drop evaporates at a rate proportional to its surface...

    Text Solution

    |

  20. Water is drained from a vertical cylindrical tank by opening a value a...

    Text Solution

    |