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1.11.8 Interpreting solutions of differential equations (A-level only)

What does dydt>0\frac{dy}{dt}>0dtdy​>0 imply about yyy?

A

If a system starts exactly at an equilibrium value, the model predicts it remains there.

B

A function is a solution of a differential equation if it satisfies the equation over the stated interval.

C

yyy is increasing.

D

For v=20(1−e−0.4t)v=20(1-e^{-0.4t})v=20(1−e−0.4t), as t→∞t\to\inftyt→∞, the velocity approaches 20 m s−1\boxed{20\text{ m s}^{-1}}20 m s−1​.

1.11.8 Interpreting solutions of differential equations (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.11.8 Interpreting solutions of differential equations (A-level only)

Flashcards for AQA A Level Maths 1.11.8 Interpreting solutions of differential equations (A-level only), covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 23 cards, matched to the AQA A Level Maths (7357) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.