技術標籤：微分方程

introduce how to solve separable equations

Separable Equations:

1 order equations with separable variable
written in the form: f(x)dx=g(y)dy (seperate the variables and intergration)

eg： y=q(x)

進行積分

H(y) = G(x) + c
Both are antiderivatives of p(y) = 1/h(y) and g(x)

a dy=b dx
等式兩邊直接積分
求解， … =
 
 … +c

詞彙：
Strictly monotonic 嚴格單調
Critical point 臨界點
Phase portrait 相點陣圖
Phase line 相線
Autonomous de： dy/dt = f(y), function of y, not t

2010.1.7