Mathematics · 4.1

Ordinary differential equations

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Will introduce forced oscillations and resonanceexistence and uniquenessEuler's methodundetermined coefficientsdamped oscillatordirection fieldcharacteristic equationfirst-order linear equation, integrating factorseparable equationdifferential equation, general solutionequilibria, stability, phase lineinitial value problemsuperposition principle

Used by 4.2 Fourier series6.1 Calculus of variations6.2 Numerical methods: Python and C++Physics 6 Oscillations, resonance and linear systemsControl engineering 1.2 How systems respond: basic elements and the step responseAstronautics 1 The two-body problem and the orbit equation