Ordinary Differential Equations

一階微分方程式

  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. Bernoulli equations
  5.      聯立線性方程式
  6. 冪級數解
  7. Laplace變換
  8. Legendre與Bessel多項式
  9. 單擺      懸鍊線(catenary)
  10. Green定理的應用

高階微分方程式

  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