Step 1: Classification of Phenols Based on Hydroxyl Groups - Monohydric Phenol: Contains one \(-OH\) group (e.g., Phenol).
- Dihydric Phenol: Contains two \(-OH\) groups (e.g., Catechol).
- Trihydric Phenol: Contains three \(-OH\) groups (e.g., Pyrogallol).
Step 2: Structural Formulas
Write the IUPAC name of the product formed in the Reimer-Tiemann reaction.
Arrange the following compounds in increasing order of their boiling points:
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 $