What is the solution for (y-x)(dy)/(dx)=1 ?

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

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(y-x)(dy)/(dx)=1

(y - x) \frac{d y}{d x} = 1

y = W (\frac{c _{1}}{e ^{x + 1}}) + x + 1

Solution steps

(y - x) \frac{d y}{d x} = 1

Solve exact ODE:

y = W (\frac{c _{1}}{e ^{x + 1}}) + x + 1

y = W (\frac{c _{1}}{e ^{x + 1}}) + x + 1

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