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Show that the given functions y1 and y2 are solutions to the DE. Then show that...

Show that the given functions y1 and y2 are solutions to the DE. Then show that y1 and y2 are linearly independent. write the general solution. Impose the given ICs to find the particular solution to the IVP.

y'' + 25y = 0; y1 = cos 5x; y2 = sin 5x; y(0) = -2; y'(0) = 3.

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