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10 cards from this deck
The first derivative of the unknown function
dydx=g(x)h(y)\frac{dy}{dx} = g(x)h(y)dxdy=g(x)h(y)
dydx+P(x)y=Q(x)\frac{dy}{dx} + P(x)y = Q(x)dxdy+P(x)y=Q(x)
IF=e∫P(x) dxIF = e^{\int P(x) \, dx}IF=e∫P(x)dx
The second derivative of the unknown function
d2ydx2+pdydx+qy=0\frac{d^2y}{dx^2} + p\frac{dy}{dx} + qy = 0dx2d2y+pdxdy+qy=0
Find particular solution & specific values of constants
Nature of roots (real distinct, repeated, or complex)
Stability of system & long-term predictions of model
Initial population and growth rate
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