Consider the differential equation y" - 5y + 4y = t. (a) Find ₁, 72, roots of the characteristic polynomial of the equation above. T1, T2 = 4,1 (b) Find a set of real-valued fundamental solutions to the homogeneous differential equation corresponding to the one above. y₁ (t) = Σ = e^(4t) Y2 (t) (c) Find a particular solution yp of the differential equation above. Yp(t) = = Σ e^(t) M M

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