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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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

y^{^{'}} = \frac{1 + y ^{6}}{x y ^{5}}, y (1) = 1

\frac{d y}{d x} a x^{2} y = 7

\frac{d z}{d t} = 6 t e^{4 z}

y^{^{'}} - 5 y = 8, e^{5 x} y (0) = 0

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