- #1

- 62

- 0

**[SOLVED] Variation of Parameters**

## Homework Statement

y^(4)-6y^(3)=-5sinx

## The Attempt at a Solution

I factored this at x^3(x-6)=0

so my r values are 0,6

also using for y(p) Dcosx + Esinx

y=Ae^0 + Be^6x + Dcosx + Esinx ???

y' =6Be^6x -Dsinx + Ecosx

y'' =36Be^6x-Dcosx - Esinx

y''' =216Be^6x + Dsinx - Ecosx

y'''' =1296Be^6x +Dcosx + Esinx

(1296Be^6x +Dcosx + Esinx) - 6(216Be^6x + Dsinx - Ecosx)=-5sinx

is this the correct way to set up this problem?