Home
Class 12
MATHS
If (a + bx)e^(y/x) = x, then show that ...

If `(a + bx)e^(y/x) = x`, then show that
`x^3d/dx (dy/dx) = (x dy/dx - y)^2`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2018

    MODERN PUBLICATION|Exercise EXERCISE|39 Videos

  • SAMPLE PAPER 2020

    MODERN PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/(dx)-y)^(2)

if e^x+e^y=e^(x+y) then show that (dy)/(dx)+e^(y-x)=0 .

If (x-y)*e^((x)/(x-y))=a , then prove that y(dy)/(dx)+x=2y .

If y =x log (x/(a+bx)) then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2 .

Find (dy)/(dx) if x^y = y^x .

If x = sint and y= sin (pt) , then show that (1-x^(2) ) (d^2y)/( dx^2) - x (dy)/( dx) + p^(2) y =0 .

IF x^y=e^(x-y) then show that (dy)/(dx)=(logx)/[log(xe)]^2 .

If e^(x) + e^(y) = e^(x + y) , then prove that (dy)/(dx) = (e^(x)(e^(y) - 1))/(e^(y)(e^(x) - 1)) or (dy)/(dx) + e^(y - x) = 0 .

MODERN PUBLICATION-SAMPLE PAPER 2019-EXERCISE
  1. Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))

    Text Solution

    |

  2. Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...

    Text Solution

    |

  3. Find differential equation of the curve y=ae^(3x)+be^(5x).

    Text Solution

    |

  4. Obtain the general solution of the following differential equations. (...

    Text Solution

    |

  5. Find a unit vector perpendicular to both of the vectors veca + vecb an...

    Text Solution

    |

  6. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

    Text Solution

    |

  7. Find the vector equation of a plane which is at a distance of 3 units ...

    Text Solution

    |

  8. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  9. Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...

    Text Solution

    |

  10. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

    Text Solution

    |

  11. Find the inverse of the following matrices using elementary transforma...

    Text Solution

    |

  12. Examining consistency and solvability, solve the following equation by...

    Text Solution

    |

  13. Out of the adult population in a village 50% are farmers, 30% do busin...

    Text Solution

    |

  14. If (a + bx)e^(y/x) = x, then show that x^3d/dx (dy/dx) = (x dy/dx - ...

    Text Solution

    |

  15. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

    Text Solution

    |

  16. Evaluate the following integrals int(dx)/(2cos^2x+3cosx)

    Text Solution

    |

  17. Determine the area common to the parabola y^2=x and the circle x^2+y^2...

    Text Solution

    |

  18. Solve y^(2)+x^(2)dy/dx=xydy/dx.

    Text Solution

    |

  19. Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1...

    Text Solution

    |

  20. Find the distance of the point (1,-1,-10) from the line (x-4)/1=(y+3)/...

    Text Solution

    |