What happens when D-glucose reacts with the following?
Step 1: Reaction of D-Glucose with Different Reagents \begin{enumerate} HI: Reduction of glucose to hexane occurs. \[ C_6H_{12}O_6 + HI \rightarrow C_6H_{14} \] \NH\(_2\)OH: Formation of oxime. \[ C_6H_{12}O_6 + NH_2OH \rightarrow C_6H_{11}NOH + H_2O \] Br\(_2\) water: Oxidation of aldehyde to carboxylic acid. \[ C_6H_{12}O_6 + Br_2 + H_2O \rightarrow C_6H_{12}O_7 + 2HBr \] HNO\(_3\): Oxidation of aldehyde and primary alcohol to dicarboxylic acid. \[ C_6H_{12}O_6 + HNO_3 \rightarrow C_6H_{10}O_8 + H_2O \] HCN: Formation of cyanohydrin. \[ C_6H_{12}O_6 + HCN \rightarrow C_6H_{12}O_6CN \]
(i) What is a rate determining step?
(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 $