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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 B Answers

Skills

  1. x ≈ 1.39, y ≈ −0.622

  2. x ≈ 1.45, y ≈ 0.220

  3. x ≈ 1.27, y ≈ 0.682

In context

  1. x ≈ 4.49 hundred, y ≈ 2.62 hundred

  2. x ≈ 4.71 °C, y ≈ 1.41 °C

  3. x ≈ 1.71 °C, y ≈ 0.247 °C

Stretch

    1. (a) x ≈ 3.63, y ≈ 4.84
    2. (b) y is larger
    1. (a) a = 2, b = 3
    2. (b) x₂ = 1.68

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