Home » Blog » Find the solution of the differential equation xy′′ – y′ + (1 – x)y = 0

Find the solution of the differential equation xy′′ – y′ + (1 – x)y = 0

Assume the differential equation

    \[ xy'' - y' + (1-x)y = 0 \]

has a solution of the form

    \[ y = e^{mx} \]

for some constant m. Determine an explicit formula for this solution.


Incomplete.

Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):