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AA HL / Differential equations

Differential equations

Separable equations, the constant, and a particular solution from a point.

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Unit formula summary

Area under a curve

\(A = \int_a^b y\,dx\)
Integral power

\(\int x^n\,dx = \frac{x^{n+1}}{n+1}+C,\ n\neq -1\)
Power rule

\(\frac{d}{dx} x^n = nx^{n-1}\)
Product rule

\((uv)' = u'v + uv'\)
Separable equation

\(\int \frac{1}{g(y)}\,dy = \int f(x)\,dx\)
Velocity

\(v = \frac{ds}{dt}\)

Revision packs for IB Mathematics. The question and the working stay together.

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