Solving Linear Nonhomogeneous Differential Equations using variation of parameters
John Travis
Mississippi College
Variation of Parameters
What happens if you can't figure out an appropriate differential operator that annihilates the righthand side?

Let's try this on a higher order differential equation.
In this case, just to check let's use a constant coefficient problem with a "known" righthand side.
Consider the differential equation , which we can solve using known differential operators (annihilators)
Consider the differential equation , which we can solve using known differential operators (annihilators)

Consider the differential equation , which we can solve using known differential operators (annihilators)
Consider the differential equation , which we can solve using known differential operators (annihilators)

Consider the differential equation , which we can solve using known differential operators (annihilators)
Consider the differential equation , which we can solve using known differential operators (annihilators)

Consider the differential equation )
Consider the differential equation )

