(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the following initial value problem:

2007y^{(4)}-18y^{(3)}+178y^{(1)}= 0

with initial conditions y(0)=y^{(1)}(0)=y^{(2)}(0)=y^{(3)}(0)

2. Relevant equations

Differential equations..

3. The attempt at a solution

From the equation I get r(2007r^{3}- 18r^{2}+178) = 0

Well first I can't seem to find the roots of the equation (except for r=0) with any method I've been taught and also the fact that they don't actually give any values for the initial conditions but just states that they're equal to eachother confuses me. I figure they are just asking for the general solution but I just need to find the roots of the equation which I can't seem to do.

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# Homework Help: Higher order differential equation

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