Variation 2 · answer guide
Differential equation — Related coefficient in DE
Question
Solve for . Express in exponential form.
This practice question was inspired by Question 11(d) in the 2024 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Step by step
- Set up the solution: separate or integrate the differential equation, include the constant, then use the initial condition..
- Finish the calculation, then check that the result meets the question’s conditions. with .
- State the final answer clearly in the form the question requested.Answer: (), or .
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Chain rule: derivative of is .
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2024 HSC Extension 1 paper Question 11(d)