What is the solution for (dy)/(dx)=(x^5y)/(sqrt(16-x^6)) ?

The solution for (dy)/(dx)=(x^5y)/(sqrt(16-x^6)) is y=e^{-1/3 sqrt(16-x^6)+c_{1}}

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(dy)/(dx)=(x^5y)/(sqrt(16-x^6))

\frac{d y}{d x} = \frac{x ^{5} y}{16 - x ^{6}}

y = e^{- \frac{1}{3} 16 - x^{6} + c_{1}}

Solution steps

\frac{d y}{d x} = \frac{x ^{5} y}{16 - x ^{6}}

Solve separable ODE:

y = e^{- \frac{1}{3} 16 - x^{6} + c_{1}}

y = e^{- \frac{1}{3} 16 - x^{6} + c_{1}}

What is the solution for (dy)/(dx)=(x^5y)/(sqrt(16-x^6)) ?
The solution for (dy)/(dx)=(x^5y)/(sqrt(16-x^6)) is y=e^{-1/3 sqrt(16-x^6)+c_{1}}