Differential Equations - Introduction, Order and Degree, Solutions to DE 

Thank you sir, the only way i can return the favor is to fully watch the ads without skipping.

Correction lang po sir sa 23:50, the 6x will be multiplied to -3 then that will be -18x^1+(-5/2) which is equal to -18x^-3/2.

Sa mga nagtatanong kung bakit naging "-18x^-3/2", yun po talaga ung exponent dapat kasi based sa laws of exponent "(x)(x^-5/2)" should be "x^-3/2" with x having an exponent of 1. And yung number six, degree is undefined since nasa loob ung (d^3y/dx^3) ng sine function. Thanks!

Dagdag para sa mga nalito na katulad ko hahaha. Tignan niyo duon sa part na mayroon 4x^2(15/4x^-7/2) + 12x(-3/2x^-5/2) + 3(x^3/2) = 0 Now focus on 12x(-3/2x^-5/2) If we solve this, it will be 6x(-3x^-5/2) And as we continue, 6x(-3x^-5/2) = 18x^(-5/2 + 1) *katulad ng sinabi ni sir, laws of exponent. Example: x^3x^2 = x^3+2 = x^5// So balik sa 18x^(-5/2 + 1); 18x^(-5/2 + 1) = 18x^(-3/2) or 18x^-3/2 That is how he got it :3 Hope this helps for those that are still having a rough time understanding it.

Thank you so much, such a great discussion po. Correction lang po sa 23:05, dapat po siguro that is 18x (x^-5/2) which equal to 18 x^-3/2

Grabe, life saver ka po sir. Without this di ko alam pano mag co-cope through online classes lang at modules. Thank you sir!

Probably one of my best youtube tutor. Thank you for saving my assignments and activities. 😇😇

Thank you so much sir! I did not enroll this year because of financial problems, but your way of teaching is very simple that i can understand it easily

thank you so much sir, watched many videos on order and degree but could'nt understand anything until i came accross your video... explanation is very plain and understandable...

Dito ko lang pala malalaman na madali lang solution of a differential equation. Tamang differentiate lang din pala. Thank you so much sir.

Thank you so much sir. Tamang tama para sa current lesson namin sa DE. Madaling magets ang explanation,napakalinaw po.

THANK YOU SOO MUCH!!!!!! This video was VERY helpful! Please continue to make more videos about DE like this!

Thanks kuya I understand this topic well because of you. Ikaw pag asa ng mga nag oonline class lalo na at panay send modules nalang sila na walang discussion.

Thank you so much. For 4 hours na naghahanap ako explanation nakahanap na din. Nagets ko po talaga agad yung lesson

Commenting because this video helped me a looooot. Thank youuu very much sir. I highly recommend this channel to students studying calculus. I'm confident to pass my quiz next week

Thank you sir! Napaka laking tulong po ng mga to lalo na ngayon. Sana marami pa kayo maishare sa mga tulad namin studyante. Keep safe po ☺

Thank you sir. at this time on pandemic, my grades are dwindling as I cannot catch up on online classes, but your videos make me understand the lessons in the easier way. Thank you very much sir.

This really helped. I hope you can do more videos about this lesson. Nakaka proud din na kapwa Pinoy ang gumawa.

This was very helpful. I was struggling with these but now it finally makes sense . Thank you 😊

Buti na lang may mga ganito na sa RU-vid, 'di ka na mababaliw sa unang araw ng klase. Anyway, thank you po!

You are the best teacher I have ever met on RU-vid. Your explanation is really awesome. You have made me understand the difficult concept, thank you so much and may God bless you abundantly.

God BLESS you too Sir for sharing your expert knowledge of ODEs and PDEs. Keep up the great work dear Engineer! Mahusay!

i didnt skip the ads deserve mo po yun sir! thank you very much for this,

Thank you, Engr!! This helps me a lot as I am studying in advance

Sobrang laking tulong ng videos mo sir lalo na at nagtetake ako ng correlation course this term. I'm subbed.

yung tipong mas maayos pa po kayong magturo kaysa sa prof namin lol XD hirap po kasi ng online class

this is very helpful lalo ngayung new normal na may online class. Thank you!

Thank you, Sir! Big help po kayo sa mga nag-aadvance study. God bless po :)

Thank you po sir, all the way from Cebu. Marami po akong natutunan.

Thank you po sir! Sobrang laking tulong nito lalo na ngayon. Godbless po! more vids sir.

Life saver! Learned so much from this video, thank yoooou so much!!

By far the best tutorial I've ever watched... I'm sooo bad at math but I've learned a lot in this vid... Keep up the good work sir♥️♥️

So useful sa ganitong panahon. Thank you so much sa mga videos mo

Thank you :) sobrang helpful lalo na ngayong puro online classes.

The explanation was very understandable. Kuddos to you sir. Sana ganto din magiging teachers namin sa pasukan huh

FINALLY THERE IS LIGHT. THANK YOU SO MUCH

Thank you, Sir. I'm doing advance study for the next sem.

Maraming salamat po, sir! I'm actually having a hard time in learning this since I'm not that good in math but watching your videos made it all possible for me! My midterm examination is approaching so I need to double time but thankfully, you're here to help us in every possible way. Thank you so much po! Happy Teacher's Day po!💗

Got it, Sir! I am starting my advance study to the course. Hmm, i identified through this video tutorial niyo na i should really be careful as pag-identify ng order and degree of the equation when transcendental and radical functions are involved.

thank you po sir ! Dami ko pong natutunan sa lesson na to :) more DE tutorial to come

Abatandchill no ads skipped behind. thanks to this vid naintindihan ko po agad

Thank you po💞 So useful po ito lalo na ngayong may pandemic😇 God Bless you po🙏

thank you sir! saktong sakto sa quarantine haha, medyo natagalan ako dun sa "-18x^-3/2" kasi namimiss out ko yung isang x kaya sinulat ko nalang sya as "-18x * x^-3/2", auto subscribe na ako dito ❤️

Thankyou po Engr. Yu jei napakalaking tulong po nito ❤️

Thank you so much sir and love you, From Ethiopia🇪🇹

Where did u get the 1/dx that I used in the example no. 2?

Thankyou Po prof sa video nato, mas gumaan pakiramdam ko sa subject nato HAHAHAHA

Thank you sir, this one helps me. Keep up doing vids like this. Salamat po!

23:04 may x kasi sa 6. nakalimutan nya ma i-multiply. kaya binawi nya, dapat talaga 18^-3/2.

Thank you very much, sir, for this video. GOD bless you more.

This is so helpful... thank you so much sir!!!

You're a life saver sir! Salute po sainyo

Thank you sir malaking tulong po ito sa mga nagaadvance study tas nalito lang po ako dun sa first example niyo sa verify the solution dun sa -5/2 pero narealize kona kung bakit naging -3/2 yung exponent thank you po, naintidihan ko po at ang linaw po ng explanation 😊💯

Bro much love from Nigeria this really helped me

Thank You very much sir engineer, This will help me in my quiz later ^_^

Thankyou Sir. You're the best👏🏻

Big help talaga sakin etong mga vids mo engr. Lalo na ngayon na online yung class namin. Sana mapansin niyo po ito. Parequest naman po ng lessons sa Data engineering analysis. Salamat po. Godbless you always😇

Thank you sir this is very informative and easy to follow

hi sir! I am confused about 18x raised to -5/2 on your third term became -3/2 as your exponent on your first problem in solutions to DE. what happen?

My friend and i wanted to thank youu, sir, for this comprehensive video na madali lang makacatch up. Dahil po sainyo, we were able to answer more items than we expected sa DE exam namin ^^ God bless po and stay safe ♡

thank you sir, it was discussed well, I just understood this introduction of DE very well bec. of you. more lecture to come please. THANYOU AND GODBLESS PO!😊

THANKYOU SIR SA TUTORIAL NA 'TO. IT SUCH A BIG HELP PO! GODBLESS :)

How about the combining like terms on the last part of the example for identifying wether x^-3/2 is a solution

Thanks for this Engr. I am actually looking for reference to refresh my knowledge in D.E! This is a big help. More videos and stay safe.

siiir you're my life saver po T__T salamat. nagegets ko na po lesson namin bc of u.

Sir Thank you so much po, sobrang malaking help po sakin!

Recommended po kayo ng prof namin. thank you sir naintindihan ko po lahat agad! Watched without skipping ads

Thanks a lot po sir Support ko po lagi mga videos nyo Keep it upp po

hi, I have a question in 4x²y'' + 12xy' + 3y = 0, why the exponent -5/2 became -3/2 when the calculated y' is -3/2*x⁻⁵/²

Thanks sir🙋 I've learned a lot

thank you po, ngayun na online class na, mahirap matutu ng math for college

a big help lalo nat OL class thankyou!!!!!

ang galing nyo po mag tutor engr!!!! sobrang linaw at nagegets ko po :)) thankyou po 🤗

Thank you so much Sir, such a big help. God Bless po

I search for DE introductions.. I saw first khan academy and i downloaded it.. But when i click your videos and saw 99% good comments, i also downloaded it. 😀

Thank you sir sa lesson

Thank you sir for the teachings and God bless po

Thankyou po engr. I hope I'll be like you someday

Thank you very much sir this is greatfull vedio.

Thank you. Good job!

This tutorial gave a lot of help Lalo na ngayon at modules kami. Thank you sir. Your way of explaining is what we need right now. Hope to watch more of your videos. God Bless you ☺️

number 1 po, in combining like terms part, instead of -18x^-5/2, why it became -18x^-3/2?

Thank you for this!

Thank you sir ❣️ pumasa ako dahil sa mga videos mo 🍀

Malaki Nanaman ata grades KO nito hahahah salamat sir ❤️

Mmaraming salamat po! Now i've learned better bec of this

Sir how can you say po if yung equation is ODE or PDE?

Engr. sa part 21:27 hindi ba dapat udv + vdu ....baket po kayo nag multiply?

Very helpful vid! Thank you po:)

ty sir, so passionate in teaching

Thank you po Kuya Engr.💕

Really nice video

Thanks sir hehe buti nahanap ko to ang hirap intindihin ng indian accent hahaha

Hello sir, may I ask lang po how did number 4. from 11:12 became PDE?

thank you very much sir😉😉

Thanks po Engr!🤞❤️

Thanks for this vid sir. Pedi poba malaman anu yung app na gamit nyo sa pag draw? di ko po kasi makita yung windows journal nung i sinearch ko.

Thank you sir!! Such a huge help!! Learned the lesson easily!!!

thank you so much, question lang po, how did the 18x (x^-5/2) changed to 18 x^-3/2? thanks in advance po

*Thank you, sir!!*