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. Determine the point on the curve y = ln x, at which the tangent will b...

    Text Solution

    |

  2. Find the angle of intersection of two curves y =2^x and y=5^x

    Text Solution

    |

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

    Text Solution

    |

  4. Find the solution of the following differential equations: (4x+6y+5)dx...

    Text Solution

    |

  5. int(xe^x)/(1+x^2)dx

    Text Solution

    |

  6. Solve dy/dx-y=e^x.

    Text Solution

    |

  7. Evaluate int(-2)^2abs([x])dx.

    Text Solution

    |

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

    Text Solution

    |

  9. Find the co-ordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  10. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |

  11. Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...

    Text Solution

    |

  12. If the magnitude of the difference of two unit vectors is sqrt3 then f...

    Text Solution

    |

  13. Using vector method prove that cosA=(b^2+c^2-a^2)/(2bc)

    Text Solution

    |

  14. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

    Text Solution

    |

  15. Solve the following by matrix method x-y+z=4, 2x+y-3z=0, x+y+z=2

    Text Solution

    |

  16. In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...

    Text Solution

    |

  17. Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...

    Text Solution

    |

  18. Prove that the two lines whose direction cosines are connected by the ...

    Text Solution

    |

  19. Integrate the following inte^(cos^2x)sin2x dx

    Text Solution

    |

  20. Solve the differential equation (dy)/(dx)= (y-x+1)/(y+x+5).

    Text Solution

    |