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0606 P22 - Nov 2019 - Q2 - 5 marks
8366

Given that \(y=2\sin 3x+\cos 3x\), show that

\(\displaystyle \frac{d^2y}{dx^2}+\frac{dy}{dx}+3y=k\sin 3x,\)

where \(k\) is a constant to be determined.

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