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Using the method of undetermined coefficients, determine the form of a particular solution yp (t) for the given differential equation. (Do not evaluate the coefficients).

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Using the method of undetermined coefficients, determine the form of a particular solution yp (t) for the given differential equation. (Do not evaluate the coefficients). y" + 10y + 4ly = te ~ sin(4t) O yp(t) = t(Alt + Ap)e S cos(4t) + t( Bit + Bo)e at sin(At) O yp (t) = Ae 5t cos(4t) + Be-at sin(4t) O yp (t) = (Alt + An)est cos( At) + (Bit + Bo)ebt sin(At) O Up(t) = (Alt + Au)e 5 cos(4t) + (Bit + Bole at sin(4t) O yp (t) = Ate at cos(4t) + Bte-5t sin(At)

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