Home
Class 12
MATHS
Find the order and degree of the differe...

Find the order and degree of the differential equation `(d^(2)y)/(dx^(2))=-p^(2)y`.

Text Solution

Verified by Experts

The correct Answer is:
Its order is 2.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(a)|15 Videos
  • DIFFERENTIAL EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE- 8(b)|17 Videos
  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Question|3 Videos
  • ELLIPSE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE 4(B)|15 Videos

Similar Questions

Explore conceptually related problems

Find the order and degree of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3)]^(6"/"5) = 6y .

If m, n are the order and degree of the differential equation ((d^(4)y)/(dx^(4)) + (d^(2)y)/(dx^(2)))^(3//2) = a (d^(3) y)/(dx^(3)) respectively, then 2m + n=

The order and degree of the differential equation ((d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3))^(6//5) = 6y is

The degree of the differential equation [5+(d^2y)/dx^(2)]^(3/2) = dy/dx

The order and degree of the differential equation [((dy)/(dx))^(2) + ((d^(2)y)/(dx^(2)))]^(5//4) = k (d^(3) y)/(dx^(3)) is

The order and degree of the differential equation (1+3y_(1))^(2//3) = 4y_(3) are

The order and degree of the differential equation y = ([5+((dy)/(dx))^(2)]^(4//3))/((d^(2)y)/(dx^(2))) is

The order and degree of the differential equation y = x(dy)/(dx)-sqrt(1+((dy)/(dx))^(2))

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIAL EQUATIONS -EXERCISE- 8(e)
  1. Find the order and degree of the differential equation (d^(2)y)/(dx^(...

    Text Solution

    |

  2. Find the I.F. of the following differential equations by transforming ...

    Text Solution

    |

  3. Find the I.F. of the following differential equations by transforming ...

    Text Solution

    |

  4. Solve the following differential equations. (dy)/(dx)+y tan x=cos^(3...

    Text Solution

    |

  5. Solve the following differential equations. (dy)/(dx)+y sec x=tan x

    Text Solution

    |

  6. Solve the following differential equations. (dy)/(dx)-y tan x =e^(x)...

    Text Solution

    |

  7. Solve the following differential equations. x (dy)/(dx) + 2y=log x

    Text Solution

    |

  8. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=e^(t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Solve the following differential equations. x(dy)/(dx)+y=(1+x)e^(x)

    Text Solution

    |

  12. Solve the following differential equations. (dy)/(dx)+(3x^(2))/(1+x...

    Text Solution

    |

  13. Solve the following differential equations. (dy)/(dx)-y=-2e^(-x)

    Text Solution

    |

  14. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=ta...

    Text Solution

    |

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

    Text Solution

    |

  16. Solve the following differential equations. cos x. (dy)/(dx)+y sin x...

    Text Solution

    |

  17. Solve the following differential equations. sec x. dy= (y + sin x)dx

    Text Solution

    |

  18. Solve the following differential equations. x log x. (dy)/(dx)+y=2 l...

    Text Solution

    |

  19. Solve the following differential equations. (x+y+1)(dy)/(dx)=1

    Text Solution

    |

  20. Solve the following differential equations. x(x-1)(dy)/(dx)-y=x^(3)(...

    Text Solution

    |

  21. Solve the following differential equations. (x+2y^(3))(dy)/(dx)=y

    Text Solution

    |