Onsider the differential equation -2e2t t4 (a) Find ₁, 2, roots of the characteristic polynomial of the equation above. T1, T2 = 2,2 Y₂ (t) = (b) Find a set of real-valued fundamental solutions to the homogeneous differential equation corresponding to the one above. y₁ (t) exp(2t) = y" - 4y + 4y texp(2t) (c) Find a particular solution yp of the differential equation above. yp (t)= te^(2t)+In(t^-2)e^(2t)-e^(2t) t> 0. Σ M M M

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