Home
Class 12
MATHS
In the following questions verify that t...

In the following questions verify that the given function is a solution of the given differential equation :
`y = e^(x) + e^(2x) + e^(-3x), y''' - 7y' + 6y = 0`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

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

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - B (Objective Type Questions (One option is correct))|40 Videos

  • DIFFERENTIAL EQUATIONS

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

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

In the following questions verify that the given function is a solution of the given differential equation : y = a cos (wx + y) , y y''' - y.y'' = 0

In the following questions verify that the given function is a solution of the given differential equation : y = c_(1) sin x + c_(2)cos x , (d^(2)y)/(d x^(2)) +y =0

verify that the given function is a solution of the differential equations : y''+4y=0, A cos 2x + B sin 2x

verify that the given function is a solution of the differential equations : y''+y=0, y = A cos x - B sin x .

verify that the given function is a solution of the differential equations : y''+4y=0, y = A cos 2x-B sin 2x .

Verify that the given function is a solution of the corresponding differential equation: y=Ax: xy\'=y (x!=0)

The solution of the differential equation (dy)/(dx) = e^(y+x) +e^(y-x) is

The solution of the differential equation (dy)/(dx) =e^(y+x) - e^(y-x) is

AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Try Yourself
  1. Find the degree of the following : cos^(-1)((dy)/(dx)) = (d^(2)y)/(d...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. From the differential equation of the family of curves represented by ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Find the general solution of the equation (1+e^(y//x)) dy + e^(y//x) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |