Consider the third order Cauchy-Euler equation at³y" +bl²y/" +cty/ + dy = 0. (a) Use a change of variable t = e# and ŷ(x) = y(e*) to transform this equation into a lincar DE with constant coefficients, and find the corresponding characteristic polynomial ĝ(s) for this DE. (b) Use ĝ(s) in part (a) to solve the DE t³y" + 5t²y" + 7ty' + 8y = 0.

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