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In the system whose signal flow graph is shown in the figure, $U_{1}(s)$ and $U_{2}(s)$ are inputs. The transfer function $\frac{Y(s)}{U_{1}(s)}$ is

  1. $\frac{k_{1}}{J Ls^{2}+J Rs+k_{1}k_{2}}$
  2. $\frac{k_{1}}{J Ls^{2}-J Rs-k_{1}k_{2}}$
  3. $\frac{k_{1}-U_{2}(R+sL)}{J Ls^{2}+(J R-U_{2}L)s+k_{1}k_{2}-U_{2}R}$
  4. $\frac{k_{1}-U_{2}(sL-R)}{J Ls^{2}-(J R+U_{2}L)s-k_{1}k_{2}+U_{2}R}$
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