Given a differential equation ( y^{ prime}+6 y=0 ). Find all values of ( r ) such that ( y=e^{r x} ) satisfies the equation. (Note: If there is more than one correct answer, list all answers and separate them by ", ".)

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Given a differential equation  ( y^{ prime}+6 y=0  ). Find all values of  ( r  ) such that  ( y=e^{r x}  ) satisfies the equation. (Note: If there is more than one correct answer, list all answers and separate them by &#34;, &#34;.)

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(Solved): Given a differential equation \( y^{\prime}+6 y=0 \). Find all values of \( r \) such that \( y=e^{ ...

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