Here they are: Complete solutions: kzbin.info/www/bejne/eJLSlYekpLZ2rbs
@MathTutor1Ай бұрын
Try to watch this one which discusses all major tricks kzbin.info/www/bejne/fnXPiWmugc2errs and this one kzbin.info/www/bejne/j5rMY5qZYqaBjpo . Please let me know what you think about them. Thank you.
@ifeoluwapopoolaafonrinwofi638Ай бұрын
you should be on top because you follow our school note i come her to get a better understanding of what happend
@MathTutor1Ай бұрын
Try to watch this one which discusses all major tricks kzbin.info/www/bejne/fnXPiWmugc2errs and this one kzbin.info/www/bejne/j5rMY5qZYqaBjpo . Please let me know what you think about them. Thank you.
@muskaanmohalikАй бұрын
I have learnt more from your videos in 2 days than I ever did from my class lectures in 2 months. Thank you so much for posting these videos.
@MathTutor12 ай бұрын
Watch this video to master Laplace Transform Method kzbin.info/www/bejne/fnXPiWmugc2errs
@MathTutor12 ай бұрын
Watch this video to master Laplace Transform Method kzbin.info/www/bejne/fnXPiWmugc2errs
@KenMinhLim2 ай бұрын
Skip 7) 9) 10) 11) 12) 13) 14) 15) 16) 17) 19) a) 21) 22) 24) 25) a) 26) (based on personal study curriculum)
@gamerkumar34272 ай бұрын
4:27:23 how is it linearly independent when y2 is not 0 in general that does not show c1=c2=0
@MathTutor12 ай бұрын
Good point. Let x = 1, this shows c1 = 0. Then take x = 2 to see that c2 should be 0. The idea is, if it is linearly independent at a one point (non-trial), then it is lin. independent in their domain of definition. L.I is a property of the function and it does not depend on the interval of consideration (in general). .
@gamerkumar34272 ай бұрын
@@MathTutor1 I get it. Thank you sir!
@gamerkumar34272 ай бұрын
Sir, I have a doubt about homogeneous equations as you said if there is a no independent variable then there it is homogeneous eqn but my book says that the degree of each term should be n for it to be homogeneous eqn ?
@MathTutor12 ай бұрын
Good point. Unfortunately, there are completely two different concepts meant by "homogeneous" First one is the same as you mentioned. Then there is another one that has 0 as the term of independent variable. Then, once you bring all terms with dependent variable, the right hand side becomes zero. This is a main concept learn in any diff eq course. I hope it is clear now. Thank you.
@muskaanmohalik2 ай бұрын
I have my first test tomorrow and this video has made me feel extremely good about my prep
@MathTutor12 ай бұрын
Good luck with your studies.
@unimportant3722 ай бұрын
Up to 2:33:33
@MathTutor12 ай бұрын
Keep going. You will learn a lot. Good luck.
@ปาริชาติแซ่ย่าง-ค4ฝ3 ай бұрын
Differential is made easy to get mind
@renatopintoreveggino38134 ай бұрын
this man is a savior
@MrSajikhan4 ай бұрын
I made PDF nodes from the slides for my personal use. If anyone needs these please let me know.
@MathTutor13 ай бұрын
Thank you very much for doing it.
@humphreyomito1861Ай бұрын
send me please
@derricknanayaw872128 күн бұрын
I need it please
@user-sn1jb8om1s4 ай бұрын
Thank you.
@user-sn1jb8om1s4 ай бұрын
At 3:00 thank you for giving the steps.
@user-sn1jb8om1s4 ай бұрын
Thank you for doing this. This really helps.
@MrSajikhan4 ай бұрын
Excellent Work. Is it possible to get a pdf file of solved practice problems?
@user-sn1jb8om1s4 ай бұрын
This is very useful. Thank you. ❤
@Will-Ch6 ай бұрын
:V
@Klimooora6 ай бұрын
Thank you <3
@bahtree23856 ай бұрын
I got 2 as my final answer by multiplying the top and bottom of the integrand by 1 - sinX to get a difference of squares on the bottom and used trig subs from there to get rid of the denominator, and from there it’s pretty rudimentary integration, basically u sub and trig derivatives. Idk if that helps anyone, or if u got a different answer let me know. :)))
@NaturesSerenityStudio8646 ай бұрын
Thank you so much sir.
@Godxsahiljod57 ай бұрын
A request, Can you give me suggestions on books of advanced level ?
@MathTutor17 ай бұрын
I'm happy to. May I know on what subject and area?
@Simon-xh8ki7 ай бұрын
learning a lot watching this video, thank you!
@GeletaGemechu-vm1pe7 ай бұрын
Deli
@MathTutor17 ай бұрын
Please comment below if you like this shortcut. Thank you.
@MathTutor17 ай бұрын
At 13:38, it should be 3 − 2x − x². Thank you.
@MathTutor17 ай бұрын
At 4:51, what I meat was x = a. I have been doing a lots of Laplace Transforms stuffs these days and it is hard to forget s. Sorry for that.
@UditaCarnegieMellon7 ай бұрын
Topics lineup -------------------------------- Basics 00:00 Transform of Derivatives 04:30 Pb 1 - 1st Order Equation 04:45 Pb 2 - Distinct Linear 16:56 Pb 3 - Repeated Factors 25:16 Pb 4 - Quadratic Factors 37:09 Pb 5 - Completing Square 44:24 Pb 6 - Switching Functions 54:10 Pb 7 - Convolution 1:08:09 Pb 8 - Dirac Delta 1:16:40 Pb 9 - Higher Order 1:24:32 (*) Special Partial Fractions for Laplace Transforms kzbin.info/www/bejne/aZSXoX6woJlqZs0 (*) Table of Common Laplace Transforms kzbin.info/www/bejne/eXmah5Jsdt14rpo (*) DI Method Review kzbin.info/www/bejne/rmaYlGeGhLqGisk (*) DI Method (more examples) kzbin.info/www/bejne/boXQloecaphjh80 Thank you for watching.
@QiranSun7 ай бұрын
Very helpful recap of the convolution theorem!
@MathTutor18 ай бұрын
Here is another video with 13 Practice Problems kzbin.info/www/bejne/gYGTaKqMqMqUZqc Topics lineup --------------------------------------------- Intro Find convolutions Pb a: 1* t Pb b: t * t Pb c: t * eᵗ Pb d: eᵗ * sin t Pb e: eᵐᵗ * eⁿᵗ, m ≠ n Pb f: sin 3t * cos 2t Convolution property (CP) Pb g: ℒ{∫₀ᵗ τeᵗ⁻^τ dτ} Pb h: ℒ{∫₀ᵗ (2τ −1)eᵗ⁻^τ dτ} Pb i: ℒ{∫₀ᵗ eᵗ⁻^τ dτ} Pb j: ℒ{∫₀ᵗ e²ᵗ⁻^τ dτ} Pb k: ℒ{∫₀ᵗ τe⁻^τdτ} Pb l: ℒ{∫₀ᵗ e⁻²^τsin 3(t−τ)dτ} Pb m: ℒ{∫₀ᵗ sin τ sinh (t−τ)dτ} Pb n: ℒ{∫₀ᵗ sin t sinh (t−τ)dτ} Practice problems Thank you for watching.
@MathTutor18 ай бұрын
Topics lineup -------------------------- Intro 00:00 Ten methods 01:20 Linearity 02:35 (1) Table Method 03:25 Problem 1 03:53 Exercise 23:26 (2) Splitting 23:45 Problem 2 24:00 Exercise 27:27 Problem 3 27:40 Exercise 29:04 (3) Division 29:28 Problem 4 29:40 Exercise 32:11 (4) Partial Fractions Method (PFM) 32:26 (a) Distinct Linear factors 33:22 (b) Repeated factors 45:34 (c) Quadratic factors 57:59 Problem 9 1:01:49 Problem 10 1:02:16 Exercise 1:03:30 (5) Completing squares 1:04:11 Problem 11 1:04:17 Exercise 1:10:08 (6) Convolution property (CP) Problem 12 1:12:57 Exercise 1:18:57 (7) Second Shifting Property (SSP) 1:19:15 Problem 13 1:21:24 Exercise 1:23:58 (8) Derivative Property (DP) 1:24:34 Problem 14 1:27:28 Exercise 1:28:38 (9) Integral Property (IP) 1:28:50 Problem 15 1:30:29 Exercise 1:32:30 Thank you for watching.
@hilcabonga79838 ай бұрын
Thank you Sir!
@AshetuTesfayeBoru8 ай бұрын
Very good
@QiranSun8 ай бұрын
Thanks
@MathTutor18 ай бұрын
Note: There are nine (9) special problems that you need to know when it comes to solving an ODE using the Laplace Transform technique. Please comment below if you are interested that too.
@nshyitsomuhammad8 ай бұрын
Your video really helps a lot 🙏🏽🙏🏽
@MathTutor18 ай бұрын
Topics lineup -------------------------------- 00:00 Basics 04:30 Pb 1 16:48 Pb 2 25:07 Pb 3 37:05 Pb 4 44:16 Pb 5 (*) Special Partial Fractions for Laplace Transforms kzbin.info/www/bejne/aZSXoX6woJlqZs0 (*) Table of Common Laplace Transforms kzbin.info/www/bejne/eXmah5Jsdt14rpo Thank you for watching.
@Rapunzel6748 ай бұрын
BRO… this is the first out of over 10 videos I’ve watched that I’ve actually understood . Why don’t you have more of a following !? Ps in advance for your back hurting …. For carrying me on this concept 😭😭😭😭
@MathTutor18 ай бұрын
Glad that it helps you.
@MathTutor18 ай бұрын
Topics lineup --------------------------------------------- 00:00 Intro 02:34 Find convolutions 02:45 Pb a: 1* t 05:54 Pb b: t * t 07:25 Pb c: t * eᵗ 15:26 Pb d: eᵗ * sin t 21:53 Pb e: eᵐᵗ * eⁿᵗ, m ≠ n 24:59 Pb f: sin 3t * cos 2t 30:14 Convolution property (CP) 30:36 Pb g: ℒ{∫₀ᵗ τeᵗ⁻^τ dτ} 32:10 Pb h: ℒ{∫₀ᵗ (2τ −1)eᵗ⁻^τ dτ} 33:47 Pb i: ℒ{∫₀ᵗ eᵗ⁻^τ dτ} 35:07 Pb j: ℒ{∫₀ᵗ e²ᵗ⁻^τ dτ} 38:10 Pb k: ℒ{∫₀ᵗ τe⁻^τdτ} 41:25 Pb l: ℒ{∫₀ᵗ e⁻²^τsin 3(t−τ)dτ} 42:31 Pb m: ℒ{∫₀ᵗ sin τ sinh (t−τ)dτ} 43:25 Pb n: ℒ{∫₀ᵗ sin t sinh (t−τ)dτ} 44:20 Practice problems Thank you for watching.