Problem

\( 2 y^{\prime \prime}+4 y^{\prime}+2 y=0 \)

Answer

Expert–verified
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Answer

\(y=c_1 e^{-x}+c_2 xe^{-x}\)

Steps

Step 1 :\(y= e^{rx}\)

Step 2 :\( r^2+2r+1=0\)

Step 3 :\(y=c_1 e^{-x}+c_2 xe^{-x}\)

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