Question: Prove Theorem 6.33(b). Let S be the solution space of y'' + ay' + by = 0 and let 1 and 2 be

Prove Theorem 6.33(b).


Let S be the solution space of

y'' + ay' + by = 0
and let λ1 and λ2 be the roots of the characteristic equation λ2 + aλ +  b = 0.

b. If λ1 = λ2, {eλ1t, eλ2t}then is a basis for S.

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