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hils0005
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[SOLVED] Transforming 3rd order D.EQ into 1st order
Transform the following diff eq into a system of first order diff eqs.
2y''' - 6y'' - y' + 3y =t^4cos(2t)
heres what I've done so far:
y =A A'=y'
y' =B B'=y''
y'' =C C'=y'''=6y'' + y' - 3y + t^4cos(2t)
C'=-3A + B + 6C +t^4cos(2t)
B'= C
A'= B
I don't know if this is correct because the initial D.Eq is not homogenous, don't know what to do with the t^4cos(2t)
Homework Statement
Transform the following diff eq into a system of first order diff eqs.
2y''' - 6y'' - y' + 3y =t^4cos(2t)
The Attempt at a Solution
heres what I've done so far:
y =A A'=y'
y' =B B'=y''
y'' =C C'=y'''=6y'' + y' - 3y + t^4cos(2t)
C'=-3A + B + 6C +t^4cos(2t)
B'= C
A'= B
I don't know if this is correct because the initial D.Eq is not homogenous, don't know what to do with the t^4cos(2t)