Step by step solution of system of 4 linear first order ODE's
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I have 4 linear ode's from a Timoshenko beam in bending.
Please see the attached figure for the equations.
I am looking for the step by step solution of the ODE using the method of "Variation of Parameters" to solve the Nonhomogeneous linear system.
The ODE reference book I have is "Elementary Differential Equations", 10th edition, by Boyce & DiPrima, pg. 443.
I need the matrix Phi to calculate the stiffness matrix in a Modified Transfer Matrix solution.
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