Skip to content
Difficulty
Standard
Suggested time
5 min
Marks
3

Slope fields and Euler’s method practice question 8

Early in the season an insect population grows at a per-capita rate that falls as the season goes on. With PP in thousands of insects and tt in weeks,

dPdt=(0.6−0.2t) P,P(0)=100.\frac{dP}{dt} = (0.6 - 0.2t)\,P, \qquad P(0) = 100.

Use Euler’s method with two steps of Δt=1\Delta t = 1 to estimate P(2)P(2).

thousand

A number.

How sure are you?

Theory UBC Math 100 §12.3Key results

Saved in this browser only.