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First assume that at least one solution to the

Find y as a function of x if:

(x^2)(y'') + 19xy' +81y = x^2

y(1) = 9 y'(1) = -3

Hint: First assume that at least one solution to the corresponding homogeneous equation is of the form . You may have to use some other method to find the second solution to make a fundamental set of solutions. Then use one of the two methods to find a particular solution.

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