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Solve the 2nd-order homogeneous Cauchy-Euler equation x?y' + 7xy' - 7y =0 The linearly independent solutions are V1 = X X 92 = (x^ (

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Solve the 2nd-order homogeneous Cauchy-Euler equation x?y' + 7xy' - 7y =0 The linearly independent solutions are V1 = X X 92 = (x^ ( - 7 ) X and the general solution of the equation is y (x) = c1x+c2x^(-7) X where C1, and c2 are arbitrary constants. (Note: Let 721 and 1712 be two solutions of the auxiliary (characteristic) equation. (i) If mi

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