Find the solution of Example 13.1 using the following two-term approximation for \(x(t)\) :

\[\underset{\sim}{x}(t)=A_{0} \sin \omega t+A_{3} \sin 3 \omega t\]

Data From Example 13.1:-

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Using a one-term approximation, find the solution of the pendulum equation E[x] = x + wx = 0 6 by the Ritz-Galerkin method. (E.1)