What is the solution for (dy)/(dx)=x^6y^{-3},y(0)=4 ?

The solution for (dy)/(dx)=x^6y^{-3},y(0)=4 is y=\sqrt[4]{(4x^7)/7+256}

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(dy)/(dx)=x^6y^{-3},y(0)=4

\frac{d y}{d x} = x^{6} y^{- 3}, y (0) = 4

y = 4 \frac{4 x ^{7}}{7} + 256

Solution steps

\frac{d y}{d x} = x^{6} y^{- 3}

Solve separable ODE:

y = 4 \frac{4 x ^{7}}{7} + 256

y = 4 \frac{4 x ^{7}}{7} + 256

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What is the solution for (dy)/(dx)=x^6y^{-3},y(0)=4 ?
The solution for (dy)/(dx)=x^6y^{-3},y(0)=4 is y=\sqrt[4]{(4x^7)/7+256}