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

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

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

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

y = e^{x + c_{1}} x^{- x} + 3

Solution steps

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

Solve separable ODE:

y = e^{x + c_{1}} x^{- x} + 3

y = e^{x + c_{1}} x^{- x} + 3

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