Problem VI. Presented in the mathematical modeling of different physical phenomenas, the Airy functions, named after...

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Problem VI. Presented in the mathematical modeling of different physical phenomenas, the Airy functions, named after the British astronomer George Biddell Airy (1801-92), are generated through the solution of the Airy equation -xy = 0, with - < x < . dx With respect to the Airy equation: i.) Determine an expression for y. ii.) Prove that the expression obtained in the first item converges for all possible values of x. [HINT: Consider a2 = 0 in the expansion of y in the first item.] Problem VI. Presented in the mathematical modeling of different physical phenomenas, the Airy functions, named after the British astronomer George Biddell Airy (1801-92), are generated through the solution of the Airy equation -xy = 0, with - < x < . dx With respect to the Airy equation: i.) Determine an expression for y. ii.) Prove that the expression obtained in the first item converges for all possible values of x. [HINT: Consider a2 = 0 in the expansion of y in the first item.]