# calculus

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1. dy/dx = y cos(x)
dy/y = cos(x) dx
ln y + const = sin(x) + const
ln y = sin(x) + const

ln 3 = sin(0) + const
const = ln 3

ln y = sin(x) + ln 3
ln y - ln 3 = sin(x)
ln (y/3) = sin(x)
y/3 = e^sin(x)
y = 3e^sin(x)

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