Differential Equation - 2nd Order (54 of 84) Method of Variation of Parameters: Ex. 1

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In this video I will use the method of variation of parameters to find y(t)=?, of y”-5y'+4y=e^(3t).
Next video in this series can be seen at:
• Differential Equation ...

[@MexicanRoboticsEngineer]

Paid $4500 for this required differential equations course and this free lecture on youtube is miles better than the professor teaching it who I can barely understand because he is bad at English

[@MichelvanBiezen]

Glad you found our videos. 🙂

[@AH-hm2mq]

Same

[@zamp7927]

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[@MichelvanBiezen]

Thank you. We appreciate the comment! 🙂

[@dena10011]

Pretty sure you just saved my exam score so thank you 🙏

[@MichelvanBiezen]

Happy to help! Good luck on your exam!

[@joshhabka]

Same!

[@enriquedominguez2083]

This was the best way to explain variation of parameters THANKYOUUU!!

[@MichelvanBiezen]

Glad you liked it! 🙂

[@babybat_69]

This is the best explanation of variation of parameters ever!

[@MichelvanBiezen]

Thank you. Glad you found our videos. 🙂

[@sinisasladojevic6419]

It refresh my memory. You are best profesor.

[@Unpoplr_opinions]

You are very underrated. More students should know about you!

[@MichelvanBiezen]

KZbin algorithms seem to keep our exposure down. We are relying on students telling others.

[@GHOSTRIDER4EVER]

Cursive is on point. Love this professor

[@nicholasbasalous1161]

Thank you sooooo much your video is the best on all of KZbin for this topic!

[@MichelvanBiezen]

You are welcome. Glad you found our videos.

[@NametsoGoai]

I really hope you are well at probably 5:27 for U2 why did why did you multiply -1/3 by 1/2? If it is a law of in intergration of natural logs may you state so and thank you so much for this video

[@nqobizithancube2974]

Mr van Biezen you are the best thank you so much so amazing keep up the good work

[@seanchiao3278]

Thank you, I take me one hour after lecture but still don't understand. This 10-minute video save me

[@MichelvanBiezen]

Glad you found our videos. 🙂

[@alejandrohdz1000]

I wish I had you as a teacher, now after an all nighter before my exam I pray this is enough to survive

[@MichelvanBiezen]

Better dring some coffee before the test. 🙂

[@alejandrohdz1000]

@@MichelvanBiezen right on, had it an hour ago and my test is in 20 minutes

[@MichelvanBiezen]

All the best on your test.

[@valentinlishkov9540]

Issue: What is a differential of an irrational argument? Let a= some rational approximation, and A be the irrational number itself (if that makes sense). Then A - a > dA and there is no way a + dA > A

[@supersurfergirl1549]

Sir. Your handwriting is impeccable!🤩 (also, great explanation and bowtie)

[@twssafaris]

He just helped me before an exam

[@supersurfergirl1549]

@@twssafaris Me too! I was working on a midterm!

[@MichelvanBiezen]

Thank you! 😃

[@Spongepop1357]

Saved my night! thank you so much :)

[@juliab7349]

came in clutch for our final diff eq project. thank u good sir 🙏🙏🙏🙏🙏

[@MichelvanBiezen]

You are welcome. Good luck on your project.

[@AJ-et3vf]

Great video sir. Thank you

[@MichelvanBiezen]

You are welcome. Glad you found our videos.

[@tenton2000k]

Would the answer change if the order in which you set up the wronskians changed?

[@MichelvanBiezen]

It should be the same.

[@tenton2000k]

Michel van Biezen you're right. I just tried it out. Thanks

[@tenton2000k]

Michel van Biezen Do you have variations of parameters for first order non homogeneous in matrix form?

[@alvinmtui-m6i]

Helped me a lot God bless you 🙏

[@MichelvanBiezen]

Thank you. God bless you as well.

[@sleepyzerny]

thanks for the video prof! Really love it and easy for me to understand T_T. never thought that variation parameters will be this easy

[@MichelvanBiezen]

As a student I always found that they made these topics too difficult to understand.

[@Attackofzach]

I hope good things come your way, you are amazing

[@MichelvanBiezen]

Good things come to us when we have the right frame of mind. A lessons I am still trying to learn. Thank you.

[@seansethi196]

What happens in the event the r equation is a square function and ultimately the Wronskian is equal to zero?

[@alexistremblay1076]

Better late than never. When you have repeated roots, one of the solution will be exp(r*t) and the other one texp(r*t). Those two solutions are linearly independant. The Wronskian starts to be ugly, but not 0.

[@La_TiKi]

U1 is not positive because the negatives cancel each other ??? ty

[@missoss]

I saw same mistake.

[@jessmac2379]

It's still negative due to the integral of (e^4t divided by e^5t)

[@aliceli598]

NEVER STOP

[@MichelvanBiezen]

We don't know what the future holds, but we are still going.....🙂

[@bryansantiago302]

Gonna leave a comment here, lemme see, if my classmates come here to learn, because our prof gave activity without even single discussion

[@MichelvanBiezen]

That is too bad. I remember as a student having to face the same frustration.

[@Gonduska]

Dear Professor. Do I need to take the absolute value for the Wronskian? I wrote e^x as my y1 and e^4x as my y2, hence the determinant was different, and I got a value of 3e^5x for the Wronskian. Is there a golden rule for this?

[@simegnewtesfaye4455]

me too

[@Gonduska]

@@simegnewtesfaye4455 I hope one day we find the answer, friend

[@Attackofzach]

Im also wondering the same thing :)

[@leod3338]

this guys goated

[@MichelvanBiezen]

Glad you like the videos.

[@nkazi1954]

thank you so much,

[@JR-iu8yl]

Thank you so much

[@alizreqat906]

Thank you so much professor , this was the best ever explanation for the variation of parameters🤍♥️

[@MichelvanBiezen]

You are welcome! Glad you liked it.

[@1SSJA]

thank you so much sir

[@MichelvanBiezen]

Glad you found it helpful. 🙂

[@picco_only]

sir i have final exam tomorrow. i hoped you could complete the serie but...

[@sav4905]

Thank you

[@MichelvanBiezen]

You're welcome

[@youtubecubedude8940]

You should have gone through how you do creamers rule

[@jonsnow3513]

Why the same c for u1 and u2

[@MichelvanBiezen]

They are combined into a single constant at the end when added.

[@aliceli598]

I LOVE YOU

[@MichelvanBiezen]

Thank you. Glad you like our videos! 🙂

[@AbhishekThakur-bu7uq]

Real G

[@MichelvanBiezen]

Glad you liked the video. 🙂

[@curtpiazza1688]

Cool! 😂

[@MichelvanBiezen]

Thanks

[@kangabealice6687]

way to get y1 prime

[@MichelvanBiezen]

Glad you like it.