Problem

$2 y^{''} + 4 y^{'} + 2 y = 0$

Answer

Expert–verified

Hide Steps

Answer

$y = c_{1} e^{- x} + c_{2} x e^{- x}$

Steps

Step 1 ： $y = e^{r x}$

Step 2 ： $r^{2} + 2 r + 1 = 0$

Step 3 ： $y = c_{1} e^{- x} + c_{2} x e^{- x}$

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