Preparation of Benzene Diazonium Chloride: \[ C_6H_5NH_2 + HNO_2 + HCl \xrightarrow{0^\circ C} C_6H_5N_2Cl + 2H_2O \] Conversions:
(i) Benzene \[ C_6H_5N_2Cl + H_3PO_2 + H_2O \rightarrow C_6H_6 + N_2 + H_3PO_3 + HCl \]
(ii) Chlorobenzene \[ C_6H_5N_2Cl + CuCl \rightarrow C_6H_5Cl + N_2 \]
(iii) Nitrobenzene \[ C_6H_5N_2Cl + CuNO_2 \rightarrow C_6H_5NO_2 + N_2 \]
Write the product obtained when D-glucose reacts with \( H_2N - OH \).
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 $