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IB Mathematics: Applications and Interpretation HL · AHL 9: Differential Equations · AHL 9.6

Euler's method for coupled systems Problem set A Answers

Skills

  1. x ≈ 0.313, y ≈ 2.66

  2. x ≈ 1.62, y ≈ 1.09

  3. x ≈ 2.46, y ≈ 0.775

In context

  1. x ≈ 1.71 thousand, y ≈ 3.16 thousand

  2. x ≈ 1.87 kg, y ≈ 1.71 kg

  3. x ≈ 0.406 tonnes, y ≈ 0.843 tonnes

Stretch

    1. (a) x ≈ 2.13, y ≈ 1.01
    2. (b) x is larger
    1. (a) a = 1.25, b = 0.8
    2. (b) x₂ ≈ 2.77

jmaths.xyz · AI HL · AHL 9.6 Euler's method for coupled systems