What is the solution for x^5y^'+y^5=0 ?

The solution for x^5y^'+y^5=0 is y=\sqrt[4]{-(x^4)/(1+4c_{1)x^4}},y=-\sqrt[4]{-(x^4)/(1+4c_{1)x^4}}

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x^5y^'+y^5=0

x^{5} y^{^{'}} + y^{5} = 0

Solution steps

x^{5} y^{'} (x) + y^{5} = 0

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What is the solution for x^5y^'+y^5=0 ?
The solution for x^5y^'+y^5=0 is y=\sqrt[4]{-(x^4)/(1+4c_{1)x^4}},y=-\sqrt[4]{-(x^4)/(1+4c_{1)x^4}}