Question: Given thatStartSet x comma x squared comma x Superscript 5 EndSetx,x2,x5is a fundamental solution set for the homogeneous equation corresponding to the differential equationx cubed

Given thatStartSet x comma x squared comma x Superscript 5 EndSetx,x2,x5is a fundamental solution set for the homogeneous equation corresponding to the differential equationx cubed y triple prime minus 5 x squared y double prime plus 10 xy prime minus 10 y equals g left parenthesis x right parenthesis comma nbspx3y5x2y+10xy10y=g(x),x greater than 0 nbspx>0,determine a formula involving integrals for a particular solution.

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