What is the solution for y^5y^'=(x^5-3)e^{-y^6},y(0)=1 ?

The solution for y^5y^'=(x^5-3)e^{-y^6},y(0)=1 is y=\sqrt[6]{ln(x^6-18x+e)}

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

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

Solution steps

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

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What is the solution for y^5y^'=(x^5-3)e^{-y^6},y(0)=1 ?
The solution for y^5y^'=(x^5-3)e^{-y^6},y(0)=1 is y=\sqrt[6]{ln(x^6-18x+e)}