Ordinary Differential Equations

  1. Exact forms      應用題
  2. 積分因子        積分因子(李群觀點)
  3. 齊次式(Homogeneous)
  4. Riccati equations   Bernoulli equations
  5.      聯立線性方程式   Abel公式
  6. Fundamental solutions of linear homogeneous equations
  7. Linear independent and Wronskian
  8. 冪級數解
  9. Laplace變換   Gamma function
  10. Legendre與Bessel多項式
  11. D'Alembert method
  12. 正交曲線族
  13. 單擺      懸鍊線(catenary)
  14. Green定理的應用
  15. Nonhomogeneous linear equations
  16. ODE with discontinuous forcing function
  17. The convolution integral(褶積)
  1. Elementary Differential Equations and Boundary Value Problems     William E. Boyce   Richard C. DiPrima
  2. Elementary Differential Equations and Boundary Value Problems     William F. Trench   [Student Solution Manual]
  3. Ordinary Differential Equations      V.I.Arnold
  4. Symmetry Methods for Differential Equations      Peter E. Hydon
  5. Galois Theory of Linear Differential Equations    Marius van der Put   [ResearchGate]
  6. 微分方程      劉睦雄  劉任業
  7. 微分方程式  王振華
  8. Solved Problems