# How can I solve this differential equation?

• November 27th 2010, 05:00 AM
jenkki
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?
• November 27th 2010, 05:08 AM
jenkki
Solved it; the left side can be rewritten as $[yxlnx]'$
• November 27th 2010, 05:10 AM
chisigma
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

$\chi$ $\sigma$
• November 27th 2010, 05:34 AM
Pandevil1990