We know that y_1(x)=x^{2} is a solution to the differential equation
x^2 D^2y + 7 x D y - 16 y=0 for x \in (0,\infty) .
Use the method of reduction of order to find a second solution to
x^2 D^2y + 7 x D y - 16 y=0 for x \in (0,\infty) .

(a) After you reduce the second order equation by making the substitution

** Note: ** Make sure you use a lower case w, (and don't use w(t), it confuses the computer).

(b) A second solution to

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