a$.$ Using any research article related to galloping from Journal of Fluids and Structures, Elsevier, determine the governing parameters in the above equation. You should provide the reference details of that article at the beginning of your MATLAB code file in the form of comments.

b$.$ Develop a computer program in MATLAB to solve this differential equation.

c$.$ Using the chosen parameters, your code should produce the following plots:

i$.$ Real component of the eigenvalue of the system versus the reduced velocity, where the reduced velocity ranges from $0$ to $10($with a uniform gap of $0\mathrm{.}5)$

ii$.$ Imaginary component of the eigenvalue of the system versus the reduced velocity, where the reduced velocity ranges from $0$ to $10($with a uniform gap of $0\mathrm{.}5)$