What is the solution for (dy)/(dx)=\sqrt[3]{64xy} ?

The solution for (dy)/(dx)=\sqrt[3]{64xy} is

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(dy)/(dx)=\sqrt[3]{64xy}

y = \frac{2 2 27 x ^{4} + 27 c _{1} x ^{\frac{8}{3}} + 9 c _{1}^{2} x ^{\frac{4}{3}} + c _{1}^{3}}{3 3}, y = - \frac{2 2 27 x ^{4} + 27 c _{1} x ^{\frac{8}{3}} + 9 c _{1}^{2} x ^{\frac{4}{3}} + c _{1}^{3}}{3 3}

Solution steps

Solve separable ODE:

y = \frac{2 2 27 x ^{4} + 27 c _{1} x ^{\frac{8}{3}} + 9 c _{1}^{2} x ^{\frac{4}{3}} + c _{1}^{3}}{3 3}, y = - \frac{2 2 27 x ^{4} + 27 c _{1} x ^{\frac{8}{3}} + 9 c _{1}^{2} x ^{\frac{4}{3}} + c _{1}^{3}}{3 3}

y = \frac{2 2 27 x ^{4} + 27 c _{1} x ^{\frac{8}{3}} + 9 c _{1}^{2} x ^{\frac{4}{3}} + c _{1}^{3}}{3 3}, y = - \frac{2 2 27 x ^{4} + 27 c _{1} x ^{\frac{8}{3}} + 9 c _{1}^{2} x ^{\frac{4}{3}} + c _{1}^{3}}{3 3}

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What is the solution for (dy)/(dx)=\sqrt[3]{64xy} ?
The solution for (dy)/(dx)=\sqrt[3]{64xy} is