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bifurcation, Paragraph
bifurcation value, Paragraph
diagram, Paragraph
pitch fork, Example
carrying capacity, Item
differential equation, Paragraph
autonomous, Paragraph
exact, Paragraph
first-order linear, Paragraph
one-parameter family, Paragraph
order, Paragraph
separable, Paragraph, Paragraph
solution, Paragraph
direction field, Paragraph
Duffing's equation, Paragraph
equilibrium solution, Paragraph, Paragraph, Paragraph
node, Paragraph
sink, Paragraph
source, Paragraph
stable, Paragraph
systems of differential equations, Paragraph
Euler's method, Paragraph
improved, Paragraph
exponential growth, Paragraph
general solution, Paragraph
harmonic oscillator, Paragraph
over-damped, Paragraph
Hooke's Law, Paragraph
initial condition, Paragraph
initial value problem, Paragraph
integral curves, Paragraph
integral equation, Paragraph
integrating factor, Paragraph
Kirchhoff's Second Law, Paragraph
Lipschitz condition, Paragraph
logistic equation, Paragraph
mixing problems, Paragraph
Newton's law of cooling, Paragraph
nullcline, Example
parameter, Paragraph
particular solution, Paragraph
phase line, Paragraph
phase plane, Paragraph
Picard iteration, Paragraph
RC circuit, Paragraph
Runge-Kutta method, Paragraph
second-order, Paragraph
SIR model, Paragraph
slope field, Paragraph
solution curves, Paragraph
autonomous, Paragraph
decoupled, Paragraph
direction field, Paragraph
equilibrium solution, Paragraph
first-order linear, Paragraph
homogeneous first-order linear, Paragraph
partially coupled, Paragraph
planar, Paragraph
vector field, Paragraph