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# Polynomials and second derivatives

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Find a polynomial p so that:

p''(t)+3p'(t) + 2p(t) = (t^2)-2

for all numbers t.

(note: p''= p double prime and t^2 = t raised to the power of 2)

##### Solution Summary

This shows how to find a polynomial to fit a given differential equation. The second derivatives are given.

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Problem :

Find a polynomial p so that:

p''(t)+3p'(t) + 2p(t) = (t^2)-2

for all numbers t.

(note: p''= p double prime and t^2 = t raised to the power of 2)

Solution :

Let p(t)= a0+ a1*t+a2*t^2+a3*t^3+...+an*t^n
Then ...

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