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What effect does an initial condition have on a family of differential-equation solutions?

A

The model's assumptions or constant parameters may cease to hold.

B

It selects one particular solution.

C

Both factors in 0.002P(1−P1000)0.002P\left(1-\frac{P}{1000}\right)0.002P(1−1000P​) are positive, so dPdt>0\frac{dP}{dt}>0dtdP​>0.

D

If d2ydx2>0\frac{d^2y}{dx^2}>0dx2d2y​>0, the curve is concave upwards; if d2ydx2<0\frac{d^2y}{dx^2}<0dx2d2y​<0, it is concave downwards.

Card 1 of 24

1.9.33 Interpret solutions of differential equations (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.9.33 Interpret solutions of differential equations (A-level only)

24 flashcards on OCR (MEI) A Level Maths 1.9.33 Interpret solutions of differential equations (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.

Flashcards