Non-homogeneous Linear Equations


Exponential Functions with No Root Conflict


Each differential equation has an exponential function on the right hand side.

Find a particular solution for each equation.

No initial conditions are given because you are only asked to find one solution.


Problem 1

Find a family of functions that solves the equation and satisfies the conditions below.

y′′+2y′+y=32ety'' + 2y' + y = 32e^t