Home
Class 12
MATHS
If 2y=x(1+(dy)/(dx)), then show that y(2...

If `2y=x(1+(dy)/(dx))`, then show that `y_(2)` is a constant.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

If y=(x)/(x+2) then prove that x(dy)/(dx)=(1-y)y .

If sin y=(2t)/(1 + t^2) , cos x= 1/(sqrt(1+t^2)) then show that (dy)/(dx) is independent of t.

If logsqrt(x^(2)+y^(2))=tan^(-1)((x)/(y)) , then show that (dy)/(dx)=(y-x)/(y+x) .

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

If y=(x+sqrt(1+x^(2)))^(n) , then show that (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=n^(2)y .

If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

If y="Pe"^(ax)+"Qe"^(bx) , then show that (d^(2)y)/(dx^(2))-(a+b)(dy)/(dx)+aby=0

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Solve by matrix method 2x+y=5,x-y=1

    Text Solution

    |

  2. Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...

    Text Solution

    |

  3. If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.

    Text Solution

    |

  4. If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1/2

    Text Solution

    |

  5. Examine the continuity of the following functions at indicated points....

    Text Solution

    |

  6. If f(x+y)=f(x)f(y)for all real x,y,f(2)=3,f'(0)=1 then what is the val...

    Text Solution

    |

  7. Find the area of the circle x^2+y^2=2ax.

    Text Solution

    |

  8. intdx/(sqrtx-root(3)(x))(x=t^6)

    Text Solution

    |

  9. Solve dy/dx+y/x=xy^2.

    Text Solution

    |

  10. Evaluate int0^2abs(x^2+2x-3)dx

    Text Solution

    |

  11. Evaluateint-2^2[x^2+3x+2]dx.

    Text Solution

    |

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

    Text Solution

    |

  13. Find the vector projection of veca=hati-hatj+hatk on vecb=3hati+hatj+3...

    Text Solution

    |

  14. Show that the line passing through the points (a1,b1,c1) and (a2,b2,c2...

    Text Solution

    |

  15. What is the number of line which are equally inclined to the axes?

    Text Solution

    |

  16. Prove that (d)/(dx)[(sin2x+1/(cos^2x)]

    Text Solution

    |

  17. If y=e^x+a^x+x^x, then find dy/dx at x=a

    Text Solution

    |

  18. Show that the semivertical angle of a cone of given slant height is ta...

    Text Solution

    |

  19. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

    Text Solution

    |

  20. If a line in the space makes angles alpha, beta  and gamma  with the c...

    Text Solution

    |