TRUE/FALSE: If r1,r2 ∈R are roots of the characteristic equation ar^2 +br+c = 0, a,b,c ∈R, a 6= 0 then every solution to ay'' + by' + cy = 0 is of the form y(x) = C1e^(r1x) + C2e^(r2x)for some C1,C2 ∈R. Justify your answer.
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Solution : TRUE
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