What is the solution for -xy+(3+x)((dy)/(dx))=0 ?

The solution for -xy+(3+x)((dy)/(dx))=0 is y=(e^{3+x+c_{1}})/(27+27x+9x^2+x^3)

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-xy+(3+x)((dy)/(dx))=0

- x y + (3 + x) (\frac{d y}{d x}) = 0

y = \frac{e ^{3 + x + c_{1}}}{27 + 27 x + 9 x ^{2} + x ^{3}}

Solution steps

- x y + (3 + x) (\frac{d y}{d x}) = 0

Solve separable ODE:

y = \frac{e ^{3 + x + c_{1}}}{27 + 27 x + 9 x ^{2} + x ^{3}}

y = \frac{e ^{3 + x + c_{1}}}{27 + 27 x + 9 x ^{2} + x ^{3}}

What is the solution for -xy+(3+x)((dy)/(dx))=0 ?
The solution for -xy+(3+x)((dy)/(dx))=0 is y=(e^{3+x+c_{1}})/(27+27x+9x^2+x^3)