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## Homework Statement

equation (1) y' + (ylny)/x = xy

we set y(x)= e

^{u(x)}

Equation (1 ) proposed becomes an equation

1st order linear differential type : equation (2) u ' + p( x) u = q ( x)

a) Find the equation ( 2) using the change of variable proposed above.

## Homework Equations

## The Attempt at a Solution

equation (1) y' + (ylny)/x = xy

y' + (e

^{u(x)}ln e

^{u(x)})/x = x*e

^{u(x)}

y' + (e

^{u(x)}ln e

^{u(x)}) = x

^{2}*e

^{u(x)}

pretty much after that, I have no idea how to proceed, please help :)