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prob = ODEProblem(pend, [x => 1], (0.0, 1.5), [g => 1], guesses = [λ => 0, y => 1],
initialization_eqs = [y ~ 1])
sol = solve(prob, Rodas5P())
┌ Warning: The initialization system is structurally singular. Guess values may significantly affect the initial values of the ODE. The problematic variables are Any[xˍtt(t)].
│ Note that the identification of problematic variables is a best-effort heuristic.
┌ Warning: Potential Rank Deficient Matrix Detected. Attempting to solve using Pivoted QR Factorization.
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