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If y^(2)=ax^(2)+2bx+c, and u(n)= int (x^...

If `y^(2)=ax^(2)+2bx+c`, and `u_(n)= int (x^(n))/(y)dx`, prove that `(n+1)a u_(n+1)+(2n+1)bu_(n)+(n)c u_(n-1)=x^(n)y` and deduce that `au_(1)=y-b u_(0), 2a^(2)u_(2)=y(ax-3b)-(ac-3b^(2))u_(0)`.

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