Solve the ODE d4y d3y d2y dy - + 16- + 86 d' + 176-dt +

Chapter 3, Problem 3.2

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Solve the ODE d4y d3y d2y dy - + 16- + 86 d'? + 176-dt + 105y = 1 dt 4 dr3 r using partial fraction expansion. Note you need to calculate the roots of a fourth-order polynomial in s. All initial conditions on y and its derivatives are zero.

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