Differential Equations: Solutions (Level 4 of 4)

This video tutorial covers the verification of solutions to Partial Differential Equations (PDEs). It begins with an introduction to PDEs and their importance, especially for those who need a calculus refresher. The video then provides three examples of verifying PDE solutions, each with detailed steps on finding partial derivatives and ensuring both sides of the equation match. The examples include using natural logarithms, subscript notation, and exponential and sine functions. The tutorial concludes with a preview of the next topic on implicit solutions of Ordinary Differential Equations (ODEs).

How do you handle constants when taking partial derivatives?

What role does the chain rule play in finding partial derivatives?

In the context of the examples provided, how do you confirm that both sides of a PDE are equivalent?