defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Equations Order and Degree of a Differential Equation
If \( m \) and \( n \) are order and degree of the equation \( \left( \frac{d^2y}{dx^2} \right)^5 + 4 \cdot \frac{\left( \frac{d^2y}{dx^2} \right)^3}{\left( \frac{d^3y}{dx^3} \right)} + \left( \frac{d^3y}{dx^3} \right) = x^2 - 1 \), then
1
\( m = 3, n = 3 \)
2
\( m = 3, n = 2 \)
3
\( m = 3, n = 5 \)
4
\( m = 3, n = 1 \)