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Q.
The order and degree of the differential equation $\frac{d^4 y}{d x^4}-\sin \left(\frac{d^3 y}{d x^3}\right)=0$ are respectively
Differential Equations
Solution:
The given differential equation is $\frac{d^4 y}{d x^4}-\sin \left(\frac{d^3 y}{d x^3}\right)=0$.
Since, the highest order derivative which occurs in the given difterential equation is $\frac{d^4 y}{d x^4}$. Ihus, order of the given equation is 4 , as $\sin \left(\frac{d^3 y}{d x^3}\right)$ occurs in the equation, it is not a polynomial equation.
Hence, degree is not defined.