nsider the differential equation y" - 3y + 2y = 5t². (a) Find r1, 72, roots of the characteristic polynomial of the equation above. 11, 12 = 1,2 (b) Find a set of real-valued fundamental solutions to the homogeneous differential equation corresponding to the one above. y₁ (t) Y₂ (t) = exp(t) = exp(2t) (c) Find a particular solution y of the differential equation above. yp (t) Σ M M M

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