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($4.7 Cauchy-Euler Equations): Solve the following Euler-type equations (a)–(c). (a) x^2y''-4xy'-6y=0 (b) x^2y''+7xy'+13y=0 (c) x^2y''+3xy'+y=x

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Advance Math

($4.7 Cauchy-Euler Equations): Solve the following Euler-typeequations (a)–(c).

(a) x^2y''-4xy'-6y=0

(b) x^2y''+7xy'+13y=0

(c) x^2y''+3xy'+y=x

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