Etard's reaction is a mild oxidation method used to convert toluene to benzaldehyde.
Step 1: In Etard's reaction, toluene is selectively oxidized to benzaldehyde using chromyl chloride (\( CrO_2Cl_2 \)).
Step 2: The reaction proceeds as: \[ C_6H_5CH_3 + CrO_2Cl_2 \rightarrow C_6H_5CHO \]
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 $