Ordinary differential equations (ODEs) are widely used to describe dynamical systems. The following lectures introduce basic techniques for solving first- and second-order ODEs, including deriving Green’s function solutions for inhomogeneous, linear differential equations and using the Frobenius method to find solutions as series expansions.

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Ordinary Differential Equations

  • Luiza Angheluta

摘要

Ordinary differential equations (ODEs) are widely used to describe dynamical systems. The following lectures introduce basic techniques for solving first- and second-order ODEs, including deriving Green’s function solutions for inhomogeneous, linear differential equations and using the Frobenius method to find solutions as series expansions.