Factoring Differential

Calculus Level 2

Given y+y=2yy''+y'=2y

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

Clarification

  • yy' denotes the first derivative of yy with respect to xx
  • yy'' denotes the second derivative of yy with respect to xx
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