Year 12 · Specialist Mathematics

Differential equations

Free examples and worked answers. No account needed.

Start practisingLoading personal best…

Practise the method.

Initial-value problems and equilibrium populations.

Example 1

-0.1721.15-2.7127.1xy
Gold rings the given initial point (0, 9). Inspect the direction field, then optionally trace the curve through that point. The gold line is an exploratory x-position. Axes use different scales; short segments show direction only.
Show worked answer

Answer:

Example 2

020405time tpopulation P
Inspect how the direction field changes with population. The gold line is an exploratory population level. No initial population is given, so no particular population history is invented. Axes use different scales; short segments show direction only.
Show worked answer

Answer:

Example 3

Show worked answer

Answer: