- #1
hils0005
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[SOLVED] Variation of Parameters
y^(4)-6y^(3)=-5sinx
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?
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?