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Question 1 Find an ODE for which the given functions form a basis of solutions. 1. e x , e2x , e3x 2. e x

Question 1 Find an ODE for which the given functions form a basis of solutions.

1. e x , e2x , e3x

2. e x , ex , cos x, sin x

3. 1, x, cos 2x, sin 2x

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