Find (frac{mathrm{C}_{1}(s)}{mathrm{R}_{1}(s)}) and (frac{mathrm{C}_{2}(s)}{mathrm{R}_{2}(s)}) for the system shown in Fig. P 3.6 where (alpha_{1}, alpha_{2}) and (alpha_{3})

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Find \(\frac{\mathrm{C}_{1}(s)}{\mathrm{R}_{1}(s)}\) and \(\frac{\mathrm{C}_{2}(s)}{\mathrm{R}_{2}(s)}\) for the system shown in Fig. P 3.6 where \(\alpha_{1}, \alpha_{2}\) and \(\alpha_{3}\) are constants.

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