Factoring y'''' + 0.45 y''' -0.165y"+ 0.0045y' -0.00175y =0

Lliason

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Trying to solve this homogenous linear ODE but I have no idea how to even start factoring this monster.

Factoring y'''' + 0.45 y''' -0.165y"+ 0.0045y' -0.00175y =0

The equation starts with y to the fourth order derivative, then third order, and so on and so forth (it's kind of hard to read on the screen so I thought I would clarify.)

help would be appreciated
 
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Trying to solve this homogenous linear ODE but I have no idea how to even start factoring this monster.

The equation starts with y to the fourth order derivative, then third order, and so on and so forth (it's kind of hard to read on the screen so I thought I would clarify.)

help would be appreciated

First plot it - then use Newton-Raphson method.

You could also start with (Ay^2 + By + C)(Dy^2 + Ey + F)

y^4 + 0.45 y^3-0.165y^2+ 0.0045y -0.00175 = 0.00025(4y-1)(100y^2+1)(10y+7)
 
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