Homogeneous Second Order Linear DE - Complex Roots Example

[sirlancenolasco]

I'm currently pursuing my second degree. I've long since forgotten this part of Calculus. patrickJMT, you've saved my life back in community college (2013) and now on my second degree in 2020. You're amazing man, I owe you a bunch! Thank you.

[baybgrl]

i have been trying to understand this for literally weeks and you made me understand it in 3 minutes i love you

[patrickjmt]

@wpi2992 you can visit my website (link is on my channel page), click on a link to any video, and there is a donation button off to the side. much obliged for any donations : )

[hayley]

Not sure why my book/professor makes everything so damn complicated, I'll say it again and again Patrick you are truly the man!! Gift from god helping us all, thank

[RheaSki]

You're a math God sent from heaven. Thank you for your videos!

[chattabox]

I went from nearly failing to a distinction after finding your tutorials they help so much especially since i can never find what i need on my lecturers slides.

[ibrahimmaqdam]

you saved me from dropping this class, thanks alot

[bthomas]

I'm reviewing CALC 1-4 for a Navy interview and you've helped me a lot - Thanks

[DDelacruz]

patrick i have to thank you for helping me in 5 semesters of calc. 1, 2, 3 (2 was broken down to 2) and diff... it was all you. tomorrow i will take my last calc final ever and i feel ready thanks to you!

[Emmanuel]

Thank you Patrick you basically taught me all of calculus and diff equ. I appreciate what you do and always recommend friends to watch your videos if they are lost on the subject. Helped me through out my whole college career, please keep doing what you are doing man. I love your videos. You are the #1 professor to go to.

[andremeza]

Thanks Patrick, your vids have been my favorite so far! No words due justice for the appreciation!

[ThMrksman]

You have no idea how helpful these videos are, good work!

[johncrew]

Thanks a lot! I don't know how but after 3 months of no calculus I managed to forget how to solve a dif eq. Your video really helped me to remember the basic things and get back to my routine. Thanks again from a 2nd year physicist.

[patrickjmt]

why would it be free in virginia?
and they have always been free to watch, so what is the problem? : )
help a brother out, i mean, c'mon....

[OSRSndBase]

I saw you had 599, 999 subscribers, and you just helped me out with this, so I am officially your 600, 000th subscriber. Congratulations

[PayneKore]

Literally watched the khan academy video and I thought I was going to build a space ship and then I watched yours and it is the simplest thing out there. YOU ARE A LEGEND

[rustyshivers]

You  should add this one to the differential equations playlist. Also the mixing problem, and any newtons law of cooling, exact and uniqueness and hmm what others have I found? Do you have one on wronskian? Since I am working this class now if you want I can try and get a playlist together that has a better order to it. Its been a busy semester or would have already done it for myself. All your upper level playlists seem to have the examples in reverse order. Your explanations are worth hunting for but its an improvement that would definitely help other lefties like myself that can only understand you and no one else. Big fan btw, been using your videos for a long loooong time.

[patrickjmt]

@armanika i just bought some new d.e. books; i plan on making more of this stuff at some point. my day job is busy now though

[GKProducts]

this looks so much easier than what i got in the lecture notes, thanks a lot!

[taekwondotime]

Oh thank goodness. I watched your other video where you did case 1 and case 2 examples and wondered if you did an example with case 3. Awesome! Thanks. :)