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1.9.32 Solve first order differential equations (A-level only)

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What makes a differential equation first order?

A

Highest derivative is a first derivative, such as dydx\frac{dy}{dx}dxdy​; no second or higher derivatives appear.

B

The proportional-growth model dPdt=kP\frac{dP}{dt}=kPdtdP​=kP has exponential form P=AektP=\boxed{Ae^{kt}}P=Aekt​.

C

y=x3+Cy=x^3+Cy=x3+C

D

y=Aex2/2y=Ae^{x^2/2}y=Aex2/2

Card 1 of 20

1.9.32 Solve first order differential equations (A-level only) Flashcards

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20 flashcards on OCR (MEI) A Level Maths 1.9.32 Solve first order differential equations (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.

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