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Approximate solutions with explicit Euler steps

Question 1 of 8

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Use explicit (forward) Euler updates x[n+1]=x[n]+h and y[n+1]=y[n]+h f(x[n],y[n]). Evaluate each slope at the old point. Give exact values; do not round intermediate values

\[P'=\frac{1}{2}P\left(1-\frac P{60}\right),\quad t_0=0,\ P_0=45,\ h=\frac{1}{5}\]

P is in thousands of cells and t in days. Compute the next two population approximations; use each new approximate population in the next old-point slope

2 marks

Keep the old-point evaluation and exact arithmetic