Chapter 9 Equations Flashcards

1
Q

integrating factor

A

I=e^integral of P(x)dx

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2
Q

linear equations equation

A

dy/dx + y p(x) = Q(x)

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3
Q

Euler method

A

y of n+1= yn + hF(xn, yn)

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4
Q

logistic growth derivative (equation for dp/dt)

A

dp/dt- kP(1-P/M), dp/dt=kP

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5
Q

logistic growth- with time

A

P(t)= M/(1+Ae^-kt) where A= M-P0/P0

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6
Q

exponential growth

A

A=P(1+r/n)^nt

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7
Q

exponential w/ continuous compounding

A

P(t)= Ae^rt; for population- P(t)= P0e^kt

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