Chapter 9 Equations Flashcards
1
Q
integrating factor
A
I=e^integral of P(x)dx
2
Q
linear equations equation
A
dy/dx + y p(x) = Q(x)
3
Q
Euler method
A
y of n+1= yn + hF(xn, yn)
4
Q
logistic growth derivative (equation for dp/dt)
A
dp/dt- kP(1-P/M), dp/dt=kP
5
Q
logistic growth- with time
A
P(t)= M/(1+Ae^-kt) where A= M-P0/P0
6
Q
exponential growth
A
A=P(1+r/n)^nt
7
Q
exponential w/ continuous compounding
A
P(t)= Ae^rt; for population- P(t)= P0e^kt