Differential equation, is book making typo?

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SUMMARY

The forum discussion centers around a potential typo in a differential equations textbook regarding the transition from one line to another in a mathematical expression. The specific expression in question involves the term (-1/9)e^(3x). Participants clarify the steps involved in deriving this expression, confirming that the transition is valid and not a typographical error. The discussion highlights the importance of understanding the manipulation of exponential functions in differential equations.

PREREQUISITES
  • Understanding of differential equations
  • Familiarity with exponential functions
  • Basic algebraic manipulation skills
  • Knowledge of calculus concepts
NEXT STEPS
  • Review the derivation of exponential functions in differential equations
  • Study the properties of e^(kx) in differential equations
  • Explore common typographical errors in mathematical texts
  • Practice solving differential equations with similar expressions
USEFUL FOR

Students studying mathematics, educators teaching differential equations, and anyone interested in clarifying mathematical expressions in textbooks.

Aziza
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Any idea on how they got from first line to second? They just ate the (-1/9)e^(3x)...(picture is attached)
 

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nvmmm i just got it
 

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