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**1. Homework Statement**

Solve the initial value problem:

y''+2y'+2y=0

y([tex]\pi[/tex]/4)=2

y'([tex]\pi[/tex]/4)=-2

**2. Homework Equations**

Included in 1

**3. The Attempt at a Solution**

I assumed that y=e^rt and came up with the characteristic polynomial r^2+2r+2=0 but when solving it for the two roots, they come back as non-real. Where have I gone wrong? thanks