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Mathematics 41 Online
OpenStudy (anonymous):

Find the real-valued general solution of the differential equation y''+8y'+8y=0

OpenStudy (unklerhaukus):

\[y''+8y'+8y=0\] \[y=Ae^{m_1}+Be^{m_2}\] \[m^2+8m+8=0\]\[m=\frac{-8\pm\sqrt{8^2-4\times 8}}{2} \]\[m=-4\pm\frac{\sqrt{32}}{2} \]\[m=-4\pm2\sqrt2\] \[y=Ae^{-4+2\sqrt2}+Be^{-4-2\sqrt 2}\]

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