The solutions of differential equation $$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} + \frac{{{\text{2dy}}}}{{{\text{dx}}}} + 2{\text{y}} = 0$$     are

The solutions of differential equation $$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} + \frac{{{\text{2dy}}}}{{{\text{dx}}}} + 2{\text{y}} = 0$$     are Correct Answer e<sup>-(1 + i)x</sup>, e<sup>(1 - i)x</sup>

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The figure shows the plot of y as a function of x
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The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is
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A differential equation is given as
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The solution of differential equation in terms of arbitrary constant C1 and C2 is