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

$\begin{array}{1 1} order4, degree3 \\order3, degree3 \\ order4, degree\;not\;defined \\order2, degree\; not\; defined \end{array}$

Toolbox:
• The highest order derivative present in the differential equation determines the order of the equation.The power to which this derivative is raised determines the degree of the equation.
Step 1:
The highest order present in the differential equation is $\large\frac{d^4y}{dx^4}$.Hence the order is 4.
Step 2:
But it is not a polynomial equation in $y'''$,so its degree is not defined.