List I (Aspects of International Trade) | List II (Characteristics) | ||
A. | Multi-lateral Trade | I. | Trade is done by two countries with each other |
B. | Volume of Trade | II. | The nature of goods and services imported and exported by countries |
C. | Composition of Trade | III. | Trade is conducted with many trading countries |
D. | Bilateral Trade | IV. | The total value of goods and services traded |
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $