<p>Order and degree of \\(\\left[1+\\left(\\dfrac{dy}{dx}\\right)^2\\right]=\\dfrac{d^2y}{dx^2}\\) are respectively:</p>
Step-by-Step Solution
Key Concept: Highest derivative = y'' \to order 2; power of y'' = 1 \to degree 1.
<div class='solution'><p>Highest derivative: $y''$ → <strong>order = 2</strong>. Power of $y''$: 1 (it's first power, not squared). <strong>Degree = 1</strong>. Answer: (3) order 2, degree 1.</p></div>
Correct Answer: 3