Solution of Homogenous Linear DE using Constant Coefficient (Complementary function)

This video provides a step-by-step guide on how to write the complementary function of linear differential equations (LDE). Learn how to form the auxiliary equation, find its roots, and use them to determine the complementary function. The solution process is explained based on the type of roots—real, repeated, or complex. The examples are also included to clarify each step, making it easy to apply these methods to solve differential equations.


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Helpful Links:
* Introductions to Differential Equations:    • Introduction to Differential Equations  

* Normal Differential Equations:    • Normal Linear Differential Equation  

* Linear Independent and Dependent functions:    • D.E. | Linear Independent and Depende...  

* Wronskian of functions:    • Wronskian of Functions  

* Application of Wronskian in Differential Equations:    • Applications of Wronskian in Differen...  

* Abel’s Formula for Finding the Wronskian in Differential Equations:    • Abel’s Formula for Finding the Wronsk...  



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