Find the characteristic polynomial

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Reference no: EM131015869

y''(t)- α²y = 0 (α > 0):

(a) Find the characteristic polynomial.

(b) Show that the characteristic roots are ±β.

(d) Find a standard basis y₁(t), y₂(t) at t = 0 in terms of exponentials and convert to hyperbolic functions.

Reference no: EM131015869

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