Question: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = et and z = e2*.

Suppose you solved a second-order equation by rewriting it as a system

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y = et and z = e2*. Think of the corresponding vector solutions 1 and T2 and use the Wronskian to show that the solutions are linearly independent. Wronskian = det These solutions are linearly independent because the Wronskian is Choose for all r.

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