Home
Class 12
MATHS
Form the differential equation correspon...

Form the differential equation corresponding to `y^2-2a y+x^2=a^2` by eliminating `adot`

Text Solution

AI Generated Solution

To form the differential equation corresponding to the equation \( y^2 - 2ay + x^2 = a^2 \) by eliminating \( a \), follow these steps: ### Step 1: Differentiate the given equation with respect to \( x \) Start with the equation: \[ y^2 - 2ay + x^2 = a^2 \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

Similar Questions

Explore conceptually related problems

What is the differential equation corresponding to y^(2)-2ay+x^(2)=a^(2) by eliminating a?

What is the differential equation corresponding to y^(2) - 2 ay + x^(2) = a^(2) by eliminating a ? Where p = (dy)/(dx)

Form the differential equation corresponding to y^(2)=m(a^(2)-x^(2)) by eliminating parameters m and a

Form the differential equation corresponding to y^(2)=a(b-x^(2)) by eliminating a and b.

Form the differential equation corresponding to (x-a)^(2)+(y-b)^(2)=r^(2) by eliminating a and b.

Form the differential equation corresponding to y^(2)=a(b-x)(b+x) by eliminating parameters a and b

Form the differential equation corresponding to y=e^(mx) by eliminating m .

The differential equation corresponding to curve y^(2)=4ax is :

Form differential equation for y=Ax^(2)+b

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Verify that y=c e^(t a n-1x) is a solution of differential equatio...

    Text Solution

    |

  2. Show that the differential equation of which y=2(x^2-1)+c e^(-x^2) is ...

    Text Solution

    |

  3. Form the differential equation corresponding to y^2-2a y+x^2=a^2 by el...

    Text Solution

    |

  4. Show that y=A x+B/x ,x!=0 is a solution of the differential equation x...

    Text Solution

    |

  5. Form the differential equation having y=(sin^(-1) x)^2 +A cos^(-1) x +...

    Text Solution

    |

  6. Show that y=a e^(2x)+b e^(-x) is a solution of the differential equat...

    Text Solution

    |

  7. Show that the function y=(A+B x)e^(3x) is a solution of the equation (...

    Text Solution

    |

  8. Show that y=c x+a/c is a solution of the differential equation y=x(dy)...

    Text Solution

    |

  9. Show that y=acos(logx)+bsin(logx) is a solution of the differential eq...

    Text Solution

    |

  10. Solve the following differential equations: (x^2+3x y+y^2)dx-x^2dy=0

    Text Solution

    |

  11. Solve the differential equation: (x^2+y^2)dx-2xydy=0

    Text Solution

    |

  12. Solve the following differential equations: (dy)/(dx)=y/x-sqrt((y^2)/(...

    Text Solution

    |

  13. Solve the following differential equations: [xsqrt(x^2+y^2)-y^2]dx + x...

    Text Solution

    |

  14. Solve the following differential equations: y/x cos(y/x)dx-{x/ysin(y/x...

    Text Solution

    |

  15. Solve the following differential equations: (dy)/(dx)=(x+y)/(x-y)

    Text Solution

    |

  16. Solve the following differential equations: x(dy)/(dx)=x+y

    Text Solution

    |

  17. Solve the following differential equations: x y(dy)/(dx)=x^2+y^2

    Text Solution

    |

  18. Solve the following differential equations: y e^(x//y)dx=(x e^(x/y)+y)...

    Text Solution

    |

  19. Solve: (dy)/(dx)=-(x+ycosx)/(1+sinx)

    Text Solution

    |

  20. Solve: (dy)/(dx)+xsin2y=x^3cos^2y

    Text Solution

    |