Solve differential equation with laplace transform, example 2
157K views · Apr 20, 2017 · Education
Comments · 102
@EagleLogic · 8 years ago
Started the video, paused, went to my marker board and solved it! Then skipped to the end and I saw that I got it right. First time I have solved one of these on my own. Your help has been HUGE! Thank you!
107
@OussamaAbuUmar · 6 years ago
You just taught me more than my professor taught me in a whole semester❤
11
@gigispence6011 · 6 years ago
Spent the last week panicking about Laplace transforms — all of that anxiety vanished after watching this video! Thank you
15
@Conditional_Finality · 2 years ago
I dont really know why professors in my uni just does not go into this much depth into explaining a single example. The way he teaches me reminds me of my high school teacher who used to make complex problems easily digestible.
@ahmed_4294 · 2 years ago
Seriously one of the best teachers I've ever encountered both on youtube and real life. I salute you! Thank you for explaining every detail of your solving and making sure we understand every step you take <3
@xuhanzhen8126 · 7 years ago
学到了啊 待定系数还能这么拆 很棒的细节讲解
3
@bizzysiru · 6 years ago
i am a student on uni. at south korea.<br>thx your class. it a big help for me.
1
@sanmuga277 · 8 years ago
Dude You are the best !!!!!! I owe You 20 Marks!!!
5
@user-wu8yq1rb9t · 4 years ago
Thank you so much dear Teacher 💖
1
@jemcel0397 · 9 years ago
I want to comment that you can use residue method to get A/s.<br><br>To do so, we will consider P(s) = (s^3 + 2s^2 + 1)/(s^2 + 4). <br><br>Then, we can differentiate P(s) but we have to divide it by n! where n is the number of times differentiation can occur. (In this case, n= 1) because s is only repeated once.<br><br>P'(s) = [(3s^2 + 2s)(s^2 + 4) - 2s(s^3 + 2s^2 + 1)]/(s^2 + 4)^2<br><br>From the previous cover-up: s = 0 so we have P'(0).<br><br>Then, you can plug 0 into your function. After applying differentiation. You'll be surprised you'll get the same answer for A.
8
@MrSimmies · 3 years ago
Absolutely perfect job. Thanks!
@rutgerlight7492 · 7 years ago
You're a good tutor! Im about to comment because i got confused in the A/s +B/s2 ... but you discussed it well ahhaha slow clap*
3
Up next

solve differential with laplace transform, sect 7.5#3
blackpenredpen · 280K views

Laplace transform of sin(bt), using definition and integration by parts
blackpenredpen · 67K views

Laplace Transform: First Order Equation
MIT OpenCourseWare · 434K views

Inverse Laplace Transform, Sect 7.4#33
blackpenredpen · 82K views

Laplace Transform: Translation Theorem in s
blackpenredpen · 47K views

Series Solution Differential Equations (Example 2)
livelaughlearn · 114K views

6: Laplace Transforms - Dissecting Differential Equations
Mu Prime Math · 56K views

AI Leaders Sign Trump's "Self-Policing" Pact & Eric Schmitt's Ambush Backfires | The Daily Show
The Daily Show · 336K views

But what is a Laplace Transform?
3Blue1Brown · 1.9M views

It's Over: Bonds COLLAPSE to WORST Levels Since 2002 - Netherlands BANS Microsoft
House of El · 247K views

solving the differential equation y''+y=tan(t) by variation of parameters
blackpenredpen · 145K views

Laplace Transforms Part 1: Solving Differential Equations
Professor Dave Explains · 39K views

09 - Solve Differential Equations with Laplace Transforms, Part 1
Math and Science · 185K views

Laplace transform 1 | Laplace transform | Differential Equations | Khan Academy
Khan Academy · 3M views

Intro to the Laplace Transform & Three Examples
Dr. Trefor Bazett · 1.4M views

Laplace Transform Practice
Math and Science · 581K views

Bernoulli Differential Equation (with a missing solution)
blackpenredpen · 32K views

Laplace transform of the unit step function | Laplace transform | Khan Academy
Khan Academy · 879K views

Power Series Solution for a differential equation
blackpenredpen · 256K views

Laplace transform of a piecewise function, sect7.2#11
blackpenredpen · 155K views

❖ Laplace Transform to Solve a Differential Equation Part 1 of 2 ❖
Patrick J · 796K views

2.4.2 Prove One-Sided Limits Using Epsilon-Delta Definition (Precise Definition)
MathIsFunDaily · 15K views

Laplace Transform Initial Value Problem (Example)
BriTheMathGuy · 195K views

Inverse Laplace Transform with unit step function, sect7.6#15
blackpenredpen · 76K views

What does the Laplace Transform really tell us? A visual explanation (plus applications)
Zach Star · 2.7M views