Determine order and degree(if defined) of differential equation `(d^4y)/(dx^4) + sin(y^("')) = 0`
Advertisement Remove all ads
Solution
`(d^4y)/(dx^4) + sin(y^(′′′)) = 0`
`=> y^(′′′) + sin(y^(′′′)) = 0`
The highest order derivative present in the differential equation is `y^(′′′)` . Therefore, its order is four.
The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads