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Use the fact that y(t) = cos t is the solution of the

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QUESTION:

Use the fact that y(t) = cos t is the solution of the initial-value problem d2 y dt2 + 2 y = 0, y(0) = 1, y (0) = 0 to verify the formula for L[cos t].

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QUESTION:

Use the fact that y(t) = cos t is the solution of the initial-value problem d2 y dt2 + 2 y = 0, y(0) = 1, y (0) = 0 to verify the formula for L[cos t].

ANSWER:

Step 1 of 4

Let us assume

Apply Laplace transform to both sides of the given equation and use the linearity property of Laplace transform

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