Problem

\( y^{\prime \prime}-y=0 \)

Answer

Expert–verified
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Answer

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

Steps

Step 1 :\(y^{\prime\prime}(x) - y(x) = 0\)

Step 2 :\(y(x) = c_1 \mathrm{e}^x + c_2 \mathrm{e}^{-x}\)

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