[math] Slope field graph in geogebra

Firs order differential equation Graphic view

https://www.geogebra.org/m/W7dAdgqc

y’ = ay + g(t) 有三種基本型 實際direction field 圖如下

1. y’ = ay

當給定 (x, 0) 為 initial point 會退化成 一條線

2. y’ = ay +1

3. y’ = ay +cos(x)

 

4.y’ = ay + e^sx

隨著起始點 不同 會有幾種圖形