Question

Consider the equation y'' + 4y = 0. a) Justify why the functions y1 = cos(4t)...

Consider the equation y'' + 4y = 0.

a) Justify why the functions y1 = cos(4t) and y2 = sin(4t) do not constitute a fundamental set of solutions of the above equation.

b) Find y1, y2 that constitute a fundamental set of solutions, justifying your answer.

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