The United States has the largest population in North America. With over 330 million people, the U.S. is the most populous country in the region. This large population is supported by a diverse economy, advanced infrastructure, and a high standard of living. The United States is also a major destination for immigrants, contributing to its population growth
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 $