Solving an Exact Differential Equation (#2)

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SUMMARY

The discussion centers on solving an exact differential equation, specifically a homogeneous equation that can be expressed in the form $$f\left(\frac{y}{x}\right)$$. Participants emphasize the importance of recognizing the homogeneity of the equation to simplify the solving process. The transformation to the function of the ratio of variables is a key technique discussed for finding solutions effectively.

PREREQUISITES
  • Understanding of differential equations
  • Familiarity with homogeneous functions
  • Knowledge of variable substitution techniques
  • Basic calculus skills
NEXT STEPS
  • Study the method of solving homogeneous differential equations
  • Learn about variable substitution in differential equations
  • Explore the concept of exact differential equations
  • Investigate the use of integrating factors for non-exact equations
USEFUL FOR

Students and professionals in mathematics, particularly those focusing on differential equations, as well as educators teaching advanced calculus concepts.

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Re: show exat or not and solve

the equation is homogenous so it can be written in the form $$f\left(\frac{y}{x}\right)$$
 

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