The function \( \mathrm{f}(\mathrm{x}) \) satisfying the equation, ...
The function \( \mathrm{f}(\mathrm{x}) \) satisfying the equation, \( \mathrm{f}^{2}(\mathrm{x})+4 \mathrm{f}^{\prime}(\mathrm{x}) \cdot \mathrm{f}(\mathrm{x})+\left[\mathrm{f}^{\prime}(\mathrm{x})\right]^{2}=0 \) is
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(a) \( \mathrm{f}(\mathrm{x})=\mathrm{c} \cdot e^{(2-\sqrt{3}) x} \)
(b) \( \mathrm{f}(\mathrm{x})=\mathrm{c} \cdot e^{(2+\sqrt{3}) x} \)
(c) \( f(x)=c \cdot e^{(\sqrt{3}-2) x} \)
(d) \( \mathrm{f}(\mathrm{x})=\mathrm{c} \cdot e^{-(2+\sqrt{3}) x} \)
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