If `p \ "and" \ q` are the order and degree of the differential equation `y(dy)/(dx)+x^3(\ \ d^2y)/(dx^2)+x y=cos x`, then a. `p < q` b. `p = q` c. `p > q` d. none of these

Explanation

To determine the order and degree of the given differential equation:

**Given Differential Equation:**
\[ y \frac{dy}{dx} + x^3 \frac{d^2y}{dx^2} + x y = \cos x \]

**Step 1: Identify the highest order derivative.**
- The highest order derivative present in the equation is \( \frac{d^2y}{dx^2} \).
- Therefore, the order \( p \) of the differential equation is 2.
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