常微分方程辅导 Ordinary Differential Equations 大学数学家教

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常微分方程
Ordinary Differential Equations

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Ordinary Differential Equations

First?Order?Differential?Equations
Linear Equations Identifying?and?solving?linear?first?order?differential?equations.
Separable?Equations Identifying and solving?exact?differential?equations.?solve?the?Bernoulli?Differential?Equation. Using?first?order?differential?equations?to?model?physical?situations. Applications?of?first?order?differential?equations.
Equilibrium?Solutions Euler's?Method.

Second-order Differential Equation
Homogeneous Second-order Linear Equations. Nonhomogeneous Second-order Linear Equations with Constant Coefficients. The Characteristic and Structure of General Solutions

Linear Systems of Differential Equation
The Eigenvalue-Eigenvector Method of Finding Solutions. Fundamental Matrix Solution;

Laplace Transforms and Their Applications in Solving Differential Equations
Laplace Transforms and Inverse Laplace Transforms. Solving Systems of Differential Equations by Laplace Transforms.

Introduction to the Stability Theory
Stability and Geometrical Characteristics of the Solutions of Linear System. Stability of Singular Points.

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