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Need detailed derivation steps of 8 ODEs in the attached paper written in Latex

Please see the attached paper.

I need the detailed, step by step, derivation of the equations in the paper to the final equations shown in the matrix. See area in the paper with the red text.

I need this written up in Latex.

Skills: LaTeX, Mathematics, Matlab and Mathematica, Mechanical Engineering

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About the Employer:
( 131 reviews ) Bonita Springs, United States

Project ID: #6394623