Chapter 9 Equations

Question 1

integrating factor

Answer 1

I=e^integral of P(x)dx

Question 2

linear equations equation

Answer 2

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

Question 3

Euler method

Answer 3

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

Question 4

logistic growth derivative (equation for dp/dt)

Answer 4

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

Question 5

logistic growth- with time

Answer 5

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

Question 6

exponential growth

Answer 6

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

Question 7

exponential w/ continuous compounding

Answer 7

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