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Find y as a function of x if x^2y''−17xy'+81y=x^7, y(1)=−3, y'(1)=4, given that y1=x^9, y2=x^9ln(x) are...

Find y as a function of x if

x^2y''−17xy'+81y=x^7,

y(1)=−3, y'(1)=4, given that y1=x^9, y2=x^9ln(x) are two solutions to the corresponding homogeneous equation.

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