# How do you solve the initial value problem y" + 2y' + y = 0?

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Solve the initial value problem

y" + 2y' + y = 0

y(0) = 1

y'(0) = -3.

See the attached file.

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#### Solution Preview

y''+2y'+y = 0

auxiliary equation is,

m^2+2m+1= 0

(m+1)^2 = 0

m = -1, -1 ===> ...

#### Solution Summary

This solution shows how to solve the initial value problem y" + 2y' + y = 0?.

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