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(x^2+1)y''=2xy' y''/y'=2x/(x^2+1) (lny')'=(ln(x^2+1))' lny'=ln(x^2+1) + C1 y'=C2*(x^2+1) y=C2*arctg(x)+C3 C1,C2,C3是待定常數
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