Infectious diseases are disorders caused by pathogenic microorganisms such as bacteria, viruses, fungi, or parasites that can spread from one individual to another.Infectious diseases are transmitted through air, water, direct contact, or vectors like mosquitoes. Examples include tuberculosis (bacteria), influenza (virus), and ringworm (fungus).
Study the items of columns I and II where drugs and their effects are given and match them correctly.
Choose the correct answer from the options given below:
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 $