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1.Show that cos 2t, sin 2t, and e^5t are linearly independent and form a fundamental set...

1.Show that cos 2t, sin 2t, and e^5t are linearly independent and form a fundamental set of solutions for the equation: y ′′′ − 5y ′′ + 4y ′ − 20y = 0

2.Find the general solution to the equation: y ′′′ − y ′′ − 4y ′ + 4y = 0

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