# Differential equation

Find the general solution of the differential equation: y'' - 2y' + y = (e^x)/x

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:21 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/differential-equation-general-solution-16086

#### Solution Preview

Taking the homogeneous part as: y''-2y'+y =0

we get the characteristic equation as r^2 - 2r + 1 = 0,

or (r-1)^2 = 0

whose solution is given as: r1=1, r2=1

Here r1 = ...

#### Solution Summary

The expert finds the general solution of the differential equations.

$2.19