# Factoring Differential

Calculus Level 2

Given $y''+y'=2y$

Where $$y=e^{rx}$$. And $$r$$ has two distinct values (the above equation has two solutions). Find the smallest value of $$r$$

Clarification

• $$y'$$ denotes the first derivative of $$y$$ with respect to $$x$$
• $$y''$$ denotes the second derivative of $$y$$ with respect to $$x$$
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