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  2. Ordinary Differential Equations
  3. Lectures
  4. L1

L1

Completion requirements
L1_01_Linear growth and exponential solutions

L1_02_No other solutions exist!

L1_03_The qualitative behavior

L1_04_Real world examples and the bifurcation value

L1_05_Logistic growth

L1_06_Separation of variables

L1_07_The partial fraction expansion

L1_08_The implicit solution

L1_09_The explicit solution

L1_10_A qualitative interpretation

L1_11_A cubic example

L1_12_The constant yield harvesting case

L1_13_The bifurcation diagram

L1_14_The periodic harvesting case

L1_15_The method of steps

L1_16_The Poincaré map

L1_17_Explicit examples

L1_18_The time dependent flow

L1_19_A differential equation

L1_20_The relation to the Poincaré map

L1_21_Properties of the Poincaré map

Last modified: Monday, 14 September 2020, 3:42 PM
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