Assume the differential equation
![\[ xy'' - y' + (1-x)y = 0 \]](http://s13997.pcdn.co/wp-content/ql-cache/quicklatex.com-56d647f71cdfb09947d169f99c2e5178_l3.png "Rendered by QuickLaTeX.com")
has a solution of the form
![\[ y = e^{mx} \]](http://s13997.pcdn.co/wp-content/ql-cache/quicklatex.com-c40696eab44a06771f32f15219f2f82b_l3.png "Rendered by QuickLaTeX.com")
for some constant 
. Determine an explicit formula for this solution.
Incomplete.
Assume the differential equation
has a solution of the form
for some constant . Determine an explicit formula for this solution.
Incomplete.