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Suppose x=c1e−t+c2e^5t. Verify that x=c1e^−t+c2e^5t is a solution to x′′−4x′−5x=0 by substituting it into the differential...

Suppose x=c1e−t+c2e^5t. Verify that x=c1e^−t+c2e^5t is a solution to x′′−4x′−5x=0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)

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