By using the substitution \(y=2z-x\), solve the differential equation \(\frac{3}{x}\left(\frac{dy}{dx}+1\right)=2(1-y-x),\) leaving your answer in the form \(y=\mathrm{f}(x)\).[4]
Hence, find the particular solution of the differential equation in part (a) which passes through the point \((0,2)\).[2]
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