A curve passes through the point \(A(0,-1)\) and the gradient of the curve at this point is parallel to the line \(y+2x=-1\). Given \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}=2\mathrm e^{2x}+6\mathrm e^{-2x}+9\cos3x\), find \(y\) in terms of \(x\).[7]
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