y^5y^'=(x^5-3)e^{-y^6},y(0)=1

解答

y^{5} y^{^{'}} = (x^{5} - 3) e^{- y^{6}}, y (0) = 1

y = 6 ln (x^{6} - 18 x + e)

求解步骤

y^{5} y^{'} (x) = (x^{5} - 3) e^{- y^{6}}

求解可分离方程:

y = 6 ln (x^{6} - 18 x + e)

y = 6 ln (x^{6} - 18 x + e)

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