# Math Help - How can I solve this differential equation?

1. ## How can I solve this differential equation?

The differential equation is:

$y'xlnx + y(lnx + 1) = 1$

for x > 1

How can I simplify this?

2. Solved it; the left side can be rewritten as $[yxlnx]'$

3. Setting $\ln x = t$ the DE becomes...

$\displaystyle t\ \frac{dy}{dt} + (1+t)\ y = 1$ (1)

... the solution of which is a 'standard job'...

Kind regards

$\chi$ $\sigma$