GATE IN 2005 | Differential Equations Question 9 | Engineering Mathematics

The general solution of the differential equation $$\left( {{D^2} - 4D + 4} \right)y = 0$$ is of the form (given $$D = {d \over {dx}}$$ and $${C_1},{C_2}$$ are constants)

$${C_1}\,{e^{2x}}$$

$${C_1}\,{e^{2x}} + {C_2}\,{e^{ - 2x}}$$

$${C_1}\,{e^{2x}} + {C_2}\,{e^{2x}}$$

$${C_1}\,{e^{2x}} + {C_2}\,x\,{e^{2x}}$$

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Engineering Mathematics