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Chapter 2 introduces ordinary differential equations (ODEs), which relate a function to its derivatives and are essential for modeling dynamic systems in science. It defines ODEs, distinguishes between linear and non-linear equations, and discusses the superposition principle and linear independence of solutions. The chapter also outlines methods for solving higher-order linear differential equations with constant coefficients, including constructing auxiliary polynomials and finding particular solutions.

Author
prahaladsai
Language
EN