Determine the order and degree (if defined) o | vedclass

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(C) The given differential equation is $\frac{d^4y}{dx^4} + \sin(y''') = 0$. The highest order derivative present in the equation is $\frac{d^4y}{dx^4

Vedclass · Accepted Answer

Order $4$,degree not defined

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(C) The given differential equation is $\frac{d^4y}{dx^4} + \sin(y''') = 0$. The highest order derivative present in the equation is $\frac{d^4y}{dx^4}$,which is of order $4$. $A$ differential equation is said to have a defined degree only if it can be expressed as a polynomial in its derivatives. In this equation,the term $\sin(y''')$ involves a transcendental function of a derivative,which means the equation cannot be written as a polynomial in its derivatives. Therefore,the order is $4$ and the degree is not defined.

Determine the order and degree (if defined) of the differential equation $\frac{d^4y}{dx^4} + \sin(y''') = 0$.

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