Home
Class 12
MATHS
Form the differential equation of the fa...

Form the differential equation of the family of curves represented by `y = a cos (bx + c)` where a, b, c are the arbitrary constants.

Text Solution

Verified by Experts

y y'''= y' y''
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Competition Level Questions|35 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|39 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation of the family of curves represented by y^2=(x-c)^3 .

Form a differential equation for the family of curves represented by ax^2 + by^2 = 1 , where a and b are arbitrary constants.

The differential equation of the family of curves represented by y^3= cx+ c^3+ c^2-1 ,where c is an arbitrary constant is of :

Obtain the differential equation of the family of curves represented by y=Ae^x+Be^-x+x^2 , where A and B are arbitrary constants.

Form the differential equation representing the family of curves y = a sin x + b cos x , where a, b are the arbitrary constants.

Form a differential equation of the family of the curves y^(2)=4ax

Form a differential equation of the family of the curves y^2 =4ax .

The order of the differential equation of the family of curves y=(a)/(c ) sin (bx)+3^(dx) where a, b, c, d are arbitrary constants is

Form the differential equation representing the family of curves y" "=" "a" "sin" "(x" "+" "b) , where a, b are arbitrary constants.

The order of the differential equation of the family of curves y=a3^(bx+c)+dsin(x+e) is (where, a, b, c, d, e are arbitrary constants)

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Try Yourself
  1. In the following questions verify that the given function is a solutio...

    Text Solution

    |

  2. In the following questions verify that the given function is a solutio...

    Text Solution

    |

  3. In the following question verify that the given function is a solution...

    Text Solution

    |

  4. Form the differential equation of the family of curves represented by ...

    Text Solution

    |

  5. Form the differential equation of the family of all the parabolas whos...

    Text Solution

    |

  6. Find the differential equation of all the circles whose radius is one ...

    Text Solution

    |

  7. Find the differential equation of the circles represented by y = k(x +...

    Text Solution

    |

  8. Find the general solution of the equation given by (dy)/(dx) + (1+y^(2...

    Text Solution

    |

  9. Find the equation of the curve passing through origin and satisfying t...

    Text Solution

    |

  10. Solve the differential equation x sec^(2) y dy = (xIn x + 1) e^(x) dx.

    Text Solution

    |

  11. In how many years the amount of Rs 2,000 triples if the rate is which ...

    Text Solution

    |

  12. Show that the differential equation x^(2)(dy)/(dx) = x^(2)+ xy + y^(2)...

    Text Solution

    |

  13. Show that (3xy + x^(2)) dy + (y^(2) + xy)dx = 0 is homogeneous differe...

    Text Solution

    |

  14. Find the general solution of the equation x - y (dx)/(dy) = y + x (dx)...

    Text Solution

    |

  15. Solve the following differential equation : ( 1 + e^(y/x) ) dy + e...

    Text Solution

    |

  16. Solve the differential equation (dy)/(dx) + 2y = x.

    Text Solution

    |

  17. Find the general solution of the differential equation (x-1)(dy)/(dx) ...

    Text Solution

    |

  18. Solve the differential equation y^(2)(dx)/(dy) + x = 1.

    Text Solution

    |

  19. Find the equation of the curve passing through the point (0,0) and who...

    Text Solution

    |

  20. A curve has a property that the slope of the tangent at a point (x, y)...

    Text Solution

    |