This video explains the meaning of solutions in the context of differential equations (D.E.). It covers key concepts such as the basis of D.E., fundamental solutions, and linearly independent (LI) solutions. You'll also learn how to write the general solution when a solution is given. Examples are provided to demonstrate how to verify if given functions are solutions of the D.E. or form the basis of the differential equation.


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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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