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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.

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

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y''+2y'+y = 0
auxiliary equation is,
m^2+2m+1= 0
(m+1)^2 = 0
m = -1, -1 ===> ...

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