Question: Substitute y = et into the ODE to obtain a characteristic equation. You can always factor this equation into the form a(r-ri)(r-ra)(r-rs) = 0.

Substitute y = et into the ODE to obtain a characteristic equation.

Substitute y = et into the ODE to obtain a characteristic equation. You can always factor this equation into the form a(r-ri)(r-ra)(r-rs) = 0. List all possible cases for the roots of r. For example, can this equation have three complex roots? One complex and two real? Repeated roots?

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