Home
Class 12
MATHS
Determine order and degree (if defined)...

Determine order and degree (if defined) of differential equations given`(d^4y)/(dx^4)+sin(yprimeprime)=0`

Text Solution

Verified by Experts

`(d^(4)y)/(dx^(4))+sin(y''')=0`
`implies y''''+sin(y''')=0`
The derivative of highest order in the given differential equation is `y''''` whose order is `4`, so the order of the differential equation is `4` and the given differential equation is not a polynomial in `(dy)/(dx)`, therefore its degree is not defined.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9.2|12 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9.3|12 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 9h|9 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|44 Videos

Similar Questions

Explore conceptually related problems

Determine order and degree (if defined) of differential equations given y'+5y=0

Determine order and degree (if defined) of differential equations given (d^(4)y)/(dx^(4))+sin(y')=0

Determine order and degree (if defined) of differential equations given y'+y=e^(x)

Determine order and degree (if defined) of differential equations given y''+(y')^(2)+2y=0

Determine order and degree (if defined) of differential equations given y^(m)+2y''+y'=0

Determine order and degree (if defined) of differential equations given y''+2y'+sin y=0

Determine order and degree (if defined) of differential equations given (d^(2)y)/(dx^(2))=cos3x+sin3x

Determine order and degree (if defined) of differential equations given ((d^(2)y)/(dx^(2)))^(2)+cos((dy)/(dx))=0

Determine order and degree ( if defined) of differential equations : y'''+2y''+y'=0 .

Determine order and degree (if defined) of differential equations given ((ds)/(dt))^(4)+3s(d^(2)s)/(dt^(2))=0

Home
Profile