Home
Class 12
MATHS
If the general solution of a differentia...

If the general solution of a differential equation is `(y+c)^2=cx`, where c is an arbitrary constant then the order of the differential equation is _______.

Promotional Banner

Topper's Solved these Questions

  • Differential Equation of the First Order

    A DAS GUPTA|Exercise Exercise|64 Videos

  • Definite Integration

    A DAS GUPTA|Exercise EXERCISE|62 Videos

  • Differentiation

    A DAS GUPTA|Exercise Exercise|98 Videos

Similar Questions

Explore conceptually related problems

The general solution of a differential equation is y= ae ^(bx+ c) where are arbitrary constants. The order the differential equation is :

If the general solution of a differential equation is y^2 + 2cy - cx + c^2 = 0 , where c is an arbitary constant, then what is the order of the differential equation ?

What is the general solution of the differential equation x dy - y dx = y^(2)dx ? Where C is an arbitrary constant

The solution of the differential equation ydx-xdy+lnxdx=0 is (where, C is an arbitrary constant)

The solution of the differential equation (dy)/(dx)=(2x-y)/(x-6y) is (where c is an arbitrary constant)

The solution of the differential equation (dy)/(dx)=(x-y)/(x-3y) is (where, c is an arbitrary constant)

The solution of the differential equation 2ydx+xdy=2x sqrtydx is (where, C is an arbitrary constant)

The solution of the differential equation (ydx-xdy)/(xy)=xdx+ydy is (where, C is an arbitrary constant)

The solution of the differential equation ycosx.dx=sinx.dy+xy^(2)dx is (where, c is an arbitrary constant)

Find the differential equation corresponding to y=cx^(3) , where c is arbitrary constant.

A DAS GUPTA-Differential Equation of the First Order-Exercise
  1. Show that the equation of the curve passing through the point (1,0) an...

    Text Solution

    |

  2. Prove that the equation of a curve whose slope at (x,y) is -(x+y)/x an...

    Text Solution

    |

  3. Find the equation of the curve such that the square of the intercept c...

    Text Solution

    |

  4. Find the curves for which the length of normal is equal to the radius ...

    Text Solution

    |

  5. Find the cartesian equation of the curves for which the length of the ...

    Text Solution

    |

  6. Find the equation of the curve for which the length of the normal is c...

    Text Solution

    |

  7. Find the equation of the curve which is such that the area of the rect...

    Text Solution

    |

  8. The equation of the curve in which the portion of the tangent included...

    Text Solution

    |

  9. The equation of the curve such that the distance between the origin a...

    Text Solution

    |

  10. The normal PG to a curve meets the x-axis in G. If the distance of G f...

    Text Solution

    |

  11. Find the equation of curves for which the cartesian subtangent varies ...

    Text Solution

    |

  12. Find the equation of the curve in which the subnormal varies as the ...

    Text Solution

    |

  13. Find the orthogonal trajectory of y^2=4a x (a being the parameter).

    Text Solution

    |

  14. Prove that the family of curves x^2/(a^2+lambda)+y^2/(b^2+lambda)=1, w...

    Text Solution

    |

  15. For the differential equation sqrt(1+(d^2y)/(dx^2))=x, the degree=and ...

    Text Solution

    |

  16. If the general solution of a differential equation is (y+c)^2=cx, wher...

    Text Solution

    |

  17. The general solution of dy/dx+(y(x+y))/x^2=0 is .

    Text Solution

    |

  18. The solution of ( x + log y) dy + y dx=0 when y(0) =1 is :

    Text Solution

    |

  19. Let d/(dx) (F(x))= e^(sinx)/x, x>0. If int1^4 2e^sin(x^2)/x dx = F(k)...

    Text Solution

    |

  20. If x(t) is a solution of ((1+t)dy)/(dx)-t y=1 and y(0)=-1 then y(1)...

    Text Solution

    |