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

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

Text Solution

AI Generated Solution

To form the differential equation corresponding to the equation \( y^2 = a(b - x)(b + x) \) by eliminating the parameters \( a \) and \( b \), we will follow these steps: ### Step 1: Rewrite the given equation The given equation is: \[ y^2 = a(b - x)(b + x) \] This can be simplified to: ...
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

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

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=e^(mx) by eliminating m .

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

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

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

The differential equation corresponding to curve y=a cos(x+b) is :

Form the differential equation corresponding to y^(2)=a(b-x)^(2), where a and b are arbitrary constant.

Form differential equation for y=A log x+B

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Form the differential equation not containing the arbitrary constant...

    Text Solution

    |

  2. if (log)a x=b for permissible values of a and x then identify the stat...

    Text Solution

    |

  3. Form the differential equation corresponding to y^2=a(b-x)(b+x) by eli...

    Text Solution

    |

  4. In each of the following differential equations indicate its degree...

    Text Solution

    |

  5. Form the differential equation of the family of curves represented ...

    Text Solution

    |

  6. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  7. Show that the differential equation that represents the family of al...

    Text Solution

    |

  8. Find the differential equation of All non-vertical lines in a plane.

    Text Solution

    |

  9. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

    Text Solution

    |

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

    Text Solution

    |

  11. Solve the following differential equations: (dy)/(dx)+(4x)/(x^2+1)y+1/...

    Text Solution

    |

  12. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

    Text Solution

    |

  13. Solve each of the following initial value problems sqrt(1-y^2)dx=...

    Text Solution

    |

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

    Text Solution

    |

  15. If y(t) is a solution of (1+t)(dy)/(dt)-t y=1a n dy(0)=-1 then show ...

    Text Solution

    |

  16. Solve: (x+2y^3)dy=ydxdot

    Text Solution

    |

  17. Solve each of the following initial value problems: x(dy)/(dx...

    Text Solution

    |

  18. Solve each of the following initial value problems: (dy)/(dx)+(2x)/(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |