What is the solution for (dy)/(dx)=x^5(x-xy) ?

The solution for (dy)/(dx)=x^5(x-xy) is y=e^{-(x^7)/7+c_{1}}+1

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(dy)/(dx)=x^5(x-xy)

\frac{d y}{d x} = x^{5} (x - x y)

y = e^{- \frac{x ^{7}}{7} + c_{1}} + 1

Solution steps

\frac{d y}{d x} = x^{5} (x - x y)

Solve separable ODE:

y = e^{- \frac{x ^{7}}{7} + c_{1}} + 1

y = e^{- \frac{x ^{7}}{7} + c_{1}} + 1

e^{x} 1

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What is the solution for (dy)/(dx)=x^5(x-xy) ?
The solution for (dy)/(dx)=x^5(x-xy) is y=e^{-(x^7)/7+c_{1}}+1