Make up a differential equation

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Reference no: EM13179122

1. Make up a differential equation that you feel confident possesses only the trivial solution y = 0. Explain your reasoning.

2. Suppose P(x) is continuous on some interval I and a is a number in I. What can be said about the solution of the initial-value problem y' + P(x)y = 0, y(a) = 0?

3. Is the set of functions f1(x) = e^(x + 2) , f2(x) = e^(x - 3) linearly dependent or linearly independent on (- ∞, ∞ )? Discuss.

Reference no: EM13179122

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