Business I / Systems of Differential Equations
Practice question · Multiple choice

Which spreadsheet formula iterates a linear system: if xtx_t is in A2 and yty_t in B2, with x˙=0.3x−0.1y\dot{x} = 0.3x - 0.1y and step Δt=0.1\Delta t = 0.1?

Hints
  1. The step adds the rate of change times the time step.
  2. The current value must appear before the increment.
Show the answer

A. =A2+(0.3*A2-0.1*B2)*0.1

Why

Euler method: xt+1=xt+f(xt,yt)⋅Δtx_{t+1} = x_t + f(x_t, y_t) \cdot \Delta t. The formula adds the rate of change times the time step to the current value.

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