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Differential equation and a nontrivial solution f are given. Find a second lin- early independent solution using reduction of order. (a) thy + 6ty' +

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Differential equation and a nontrivial solution f are given. Find a second lin- early independent solution using reduction of order. (a) thy" + 6ty' + 6y =0, t> 0; f(t ) =t-2 (b) ty"+(1-2t)y'+(t-1)y =0, t> 0; f(t) = et

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