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

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

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x/y (dy)/(dx)+ln(y)=x+1

\frac{x}{y} \frac{d y}{d x} + ln (y) = x + 1

y = e^{\frac{c _{1}}{x} + \frac{x}{2} + 1}

Solution steps

\frac{x}{y} \frac{d y}{d x} + ln (y) = x + 1

Solve exact ODE:

y = e^{\frac{c _{1}}{x} + \frac{x}{2} + 1}

y = e^{\frac{c _{1}}{x} + \frac{x}{2} + 1}

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