What is the solution for (dy)/(dx)=x^6y^{-7} ?

The solution for (dy)/(dx)=x^6y^{-7} is y=\sqrt[8]{(8x^7)/7+c_{1}},y=-\sqrt[8]{(8x^7)/7+c_{1}}

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(dy)/(dx)=x^6y^{-7}

\frac{d y}{d x} = x^{6} y^{- 7}

Solution steps

\frac{d y}{d x} = x^{6} y^{- 7}

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What is the solution for (dy)/(dx)=x^6y^{-7} ?
The solution for (dy)/(dx)=x^6y^{-7} is y=\sqrt[8]{(8x^7)/7+c_{1}},y=-\sqrt[8]{(8x^7)/7+c_{1}}