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Year 12 Maths Extension 2 Integration

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Question 1
13586

Find the particular solution of \(\dfrac{{dy}}{{dx}} = {e^x}\cos x\), given that \(y = \dfrac{1}{2}\), when \(x = 0\)

\(y = \dfrac{1}{2}{e^x}(\sin x + \cos x)\)

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