Variation of Parameters - Intro and Proof (Differential Equations)

[@primalhndsai]

Perfect video, perfect proof, perfect expression. As a computer engineering student, that's why I love maths...

[@learner4670]

My confusion was on simplifying assumption (why that is equal to zero) is now solved, Thank you sir

[@BlackTshirtMathProfessor]

Awesome! You’re welcome, fellow mathematician!

[@constantinaalexander2188]

Great videos. Discovered by accident when looking for an explanation about this topic and also some worked examples of power series. I particularly love the clear methodology you use which has dispensed with some of the fuzzy areas in my thinking.

[@BlackTshirtMathProfessor]

Thanks, fellow mathematician! I’m glad I helped make things less fuzzy!

[@Krispio666]

Thank you for this professor, appreciate the proofs.

[@BlackTshirtMathProfessor]

I’ll start including more proofs!

[@Krispio666]

@@BlackTshirtMathProfessor Thank you again! I look forward to them. I think you've done a good job so far of including proofs, for what it's worth.

[@NielKlauss]

how do we arrive at "yp = u1(x) y1 + u2(x) y2"? I understand that changing the homogeneous solutions' parameters to functions always provides a non-homogeneous solution, but can it be proved that there are no other possible solutions?

[@BlackTshirtMathProfessor]

It’s basically a good guess. I’m not aware of a direct proof that there’s no other solutions.