What is the solution for (dy)/(dx)=(x+2)/(e^{y-1)} ?

The solution for (dy)/(dx)=(x+2)/(e^{y-1)} is y=ln((x^2)/2+2x+c_{1})+1

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(dy)/(dx)=(x+2)/(e^{y-1)}

\frac{d y}{d x} = \frac{x + 2}{e ^{y - 1}}

y = ln (\frac{x ^{2}}{2} + 2 x + c_{1}) + 1

Solution steps

\frac{d y}{d x} = \frac{x + 2}{e ^{y - 1}}

Solve separable ODE:

y = ln (\frac{x ^{2}}{2} + 2 x + c_{1}) + 1

y = ln (\frac{x ^{2}}{2} + 2 x + c_{1}) + 1

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\frac{d}{d n} (cos (n m^{3}))

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