Question

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

• A. 4,1
• B. 3,1
• C. 1,4
• D. 4, not defined

Answer 1

Answer: (D)

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.