Introductory Differential Equations Textbook

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SUMMARY

The forum discussion centers around the textbook "An Introduction To Differential Equations and Their Applications" by Stanley Farlow, which is being used for a differential equations class. Participants recommend obtaining supplementary materials, specifically "Schaum's Outline of Differential Equations," which effectively covers standard solution techniques and numerical methods. Additional suggestions include another introductory text, enhancing the understanding of topics such as First Order ODE, Second Order ODE, Series Solutions, The Laplace Transformation, and Systems of Differential Equations.

PREREQUISITES
  • Understanding of Ordinary Differential Equations (ODE)
  • Familiarity with Laplace Transforms
  • Basic knowledge of series solutions in differential equations
  • Experience with numerical solution methods for ODEs
NEXT STEPS
  • Research "Schaum's Outline of Differential Equations" for additional practice problems
  • Explore advanced topics in "An Introduction To Differential Equations and Their Applications" by Stanley Farlow
  • Study the application of Laplace Transforms in solving differential equations
  • Investigate numerical methods for solving first and second order ODEs
USEFUL FOR

Students enrolled in differential equations courses, educators seeking supplementary materials, and anyone looking to deepen their understanding of ODE applications.

_N3WTON_
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Ok, for my differential equations class we are using a textbook called "An Introduction To Differential Equations and Their Applications" by Stanley Farlow. The book can be found here:
https://www.amazon.com/dp/048644595X/?tag=pfamazon01-20
and I must say that I 100% agree with the assessment provided by Marty G in the first review. Therefore, I feel that it would be wise to obtain a second textbook in order to supplement the first one (or perhaps replace it all together) so that I can more fully understand the material. I was hoping someone could provide some recommendtions. Topics to be covered in the class include: First Order ODE, Second Order ODE, Series Solutions, The Laplace Transformation, and System of DiffEq. The focus is one applications. Thank you. :)
 
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Schaum's Outline of Differential Equations seemed to cover the topic nicely, from using standard solution techniques to covering the various numerical solution methods.

https://www.amazon.com/dp/0071611622/?tag=pfamazon01-20

As with all titles in the Schaum's series, there are plenty of worked example problems and additional practice problems.
 
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SteamKing said:
Schaum's Outline of Differential Equations seemed to cover the topic nicely, from using standard solution techniques to covering the various numerical solution methods.

https://www.amazon.com/dp/0071611622/?tag=pfamazon01-20

As with all titles in the Schaum's series, there are plenty of worked example problems and additional practice problems.
awesome, thank you so much! I'm ordering a copy now :)
 
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mathwonk said:
in my opinion, this is probably the best intro to diff eq:

https://www.amazon.com/dp/0486649407/?tag=pfamazon01-20
Damn, I was really hoping you posted the same book as SteamKing...they are both cheap though so I guess I'll just have an abnormally large collection of DiffEq textbooks :p...also thanks for your advice
 
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