Step 1: One common disease caused by mosquitoes is Malaria, which is transmitted by the Anopheles mosquito.
Step 2: Control measures for Malaria include: 1. Use of Insecticide-Treated Nets (ITNs) to prevent mosquito bites during sleep. 2. Indoor Residual Spraying (IRS) with insecticides to kill mosquitoes inside homes. 3. Elimination of Breeding Sites by draining stagnant water where mosquitoes breed. 4. Taking Antimalarial Drugs as a preventive measure in high-risk areas.
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 $