What is the solution for (x+3)(dy)/(dx)+y=ln(x) ?

The solution for (x+3)(dy)/(dx)+y=ln(x) is y=(xln(x))/(x+3)-x/(x+3)+(c_{1})/(x+3)

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(x+3)(dy)/(dx)+y=ln(x)

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

y = \frac{x ln ( x )}{x + 3} - \frac{x}{x + 3} + \frac{c _{1}}{x + 3}

Solution steps

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

Solve linear ODE:

y = \frac{x ln ( x )}{x + 3} - \frac{x}{x + 3} + \frac{c _{1}}{x + 3}

y = \frac{x ln ( x )}{x + 3} - \frac{x}{x + 3} + \frac{c _{1}}{x + 3}

What is the solution for (x+3)(dy)/(dx)+y=ln(x) ?
The solution for (x+3)(dy)/(dx)+y=ln(x) is y=(xln(x))/(x+3)-x/(x+3)+(c_{1})/(x+3)