Second-Order Differential Equations Initial Value Problems Example 4 (KristaKingMath)

[@Enzavoc]

I wish all maths teachers had the time and patience to explain things like you have here. You made things so simple! Consider me subscribed =]

[@kristakingmath]

@seniorgomez6689 Awww, thanks!! :D I hope that more and more people will be able to take advantage of all the great free resources that are available now online! :) Thanks so much for the comment! :)

[@kristakingmath]

Hi! You can check out how I make my videos here :) integralcalc (dot) com/how-I-create-my-videos/

[@kristakingmath]

That's a setting you can control. Just click the "cc" button in the lower right hand corner of the video, and then click "Turn Captions Off." Hope that helps! :)

[@bhaskarkulaste9569]

your way of explanation is just awesome . the you come to the final step by solving it step by steps , you made it in most easy way . when we really learn something a smile come to our face automatically n that's happened with me after watching this video. a biggggggg thanks to you .... :)

[@kristakingmath]

@scottytheace Patrick and Khan are clearly really great guys who have done so much for so many people, and they definitely deserve the views they get! :) I'm just sooooooo happy to have the opportunity to be helpful and make people's lives a little less stressful. :) Thank you so, SO much for your support and encouragement, because I'm totally passionate about doing this, and you absolutely made my day. You're the best!! :D

[@sifrael]

Your explanations are luminous!

[@gabthevamp]

You're a life saver! Seriously. Great videos, extremely helpful and easy to understand. :) I have a differential equations test this week and I'm feeling pretty confident now. :D

[@seniorgomez6689]

clemson engineering student here, these vids are great to clarify points from lecture! I wish you and patrickjmt could teach classes!

[@ZulfaAbdallah-lz5lz]

Wow crista u r the best math teacher thnks for saving my life on my coming finals

[@sukhmanjassal4103]

I love you.. it took me forever to finally find an example like this.

[@kristakingmath]

I'm so glad you finally found this! :D

[@xXChristian27Xx]

Thank You! Love the Slideshow like format, very easy to read! The whiteboard stuff is good too, but like this type better! Good Job keep up the good work!

[@mykingdom2060]

i always miss the lecture but seeing your videos help me to make up my course thank you very much

[@kristakingmath]

You're welcome! Glad I can help. :D

[@abdullah2321]

Brilliant.. I started off by pausing the video in the beginning. Then i kinda jammed after the value of r. Then i thought i could not be a genius like you. :D I had no idea about this weird formula. Your videos are helping me a lot. :) thanks.

[@kristakingmath]

Abdullah Azam You're welcome, I'm so glad the videos are helping!

[@kristakingmath]

Awesome! I hope you rock your test! :)

[@hammurambi]

It's amazing how many variations of the notation used in Euler's identity.

[@kramer3214]

You're intelligent and easy to look at ;). Thanks for the help

[@kristakingmath]

Glad you like the videos. :)

[@kristakingmath]

@xXChristian27Xx Thanks for the feedback! :)

[@kristakingmath]

@MegaFriends88 You're welcome! :)

[@kristakingmath]

Thanks! Glad you liked it! :D

[@kristakingmath]

Wow, that's very kind of you to say! Thank you for saying so!! :D

[@KayIhsan]

Hi, Thank you very much for your quick reply. It is really helpful...

[@kristakingmath]

@sifrael Thanks!! :D

[@muhittinselcukgoksu1327]

Çok iyisin. Teşekkür ederim. You are a super mathematician. Thank you sooo much.

[@kristakingmath]

You're welcome, and thank you so much!

[@sab3aoo]

thank you so much for this, but I might suggest that you say which video should be the next one, because I get lost when choosing which topic to cover after each video I watch. for example should I go here for the "second-order non homogeneous diff eq initial value" or " second-order non homogeneous diff" ? or I don't know if I should cover the 2nd order homogeneous first... u see what I mean? thanks again for your efforts :)

[@kristakingmath]

You're welcome! :)

[@blahmonster1234]

Excellent video, on par with PatrickJMT or KhanAcademy, maybe even better. I like how you go through every step, which is often glossed over. Even if I already know how to do the chain rule, I might not be 100% certain, so it helps to see it done and follow along.

[@KayIhsan]

I like your presentation. could you please tell me what software you used for your presentation. Thanks...

[@joseeduardo9152]

Very helpful!

[@kristakingmath]

Glad I could help! :)

[@kristakingmath]

@tinytinysky Awww! Glad I can help! Hang in there. :)

[@st12343]

thank you so so much!

[@kristakingmath]

Aww thanks. You're so sweet. :)

[@MrDimond98]

Thanks from Holland!

[@kristakingmath]

:D

[@daredevil1189]

Hey, whats the difference between when I am ask to "solve the initial value problem" and to "find the general solution"?

[@kristakingmath]

Finding the general solution just means finding y(x) using the formula I put at the top of this video. When you find the general solution, your final answer will have the constants c_1 and c_2 in it. On the other hand, solving the initial problem is the same as finding the particular solution, and it means that you're plugging initial conditions into the general solution in order to solve for c_1 and c_2. In this case, your final answer won't contain c_1 and c_2 because you'll have solved for them. :)

[@daredevil1189]

integralCALC super super awesome! thanks

[@DJTrancenergy]

You're amazing :)

[@mohdpikar5010]

how to solve this two question? 1) x*2 y"+ x y' -9 y = 0 ( find general equation only )

[@rtzstvn]

All the way from NC and from UNC charlotte

[@mykidsarefat4417]

+rtzstvn go niners

[@rtzstvn]

Thanks so helpful

[@kristakingmath]

You're welcome!

[@kristakingmath]

@AudiROCKS Good luck!! :D

[@kristakingmath]

@gregboader Nice! Glad it helped. But now get some sleep....nobody should be doing math at that time :)

[@Link5646]

This is an ODE that uses the Cauchy-Euler equation. The method in this video will not work for this particular problem.

[@auroxion]

i love you ;)

[@iain08]

your videos > patrickJMT because his hand gets in the way.

[@mohdpikar5010]

* = power

[@lllUSlll]

She can't be > Patrick!!! make 'em an Equation! TheIntegralCalc = PatrickJMT

[@scottytheace]

Why is it that a tutor that is just as (possibly more) clear as patrickJMT or kahn is not nearly as well known even though these videos are better presented? further more, what is the correlation coefficient between gender and number of views? It would appear, much to my frustration, that this value is MASSIVE >:@

[@pemulung]

thank you honey ....

[@bakopala]

I like beautiful women with brains.You just won that girl.Thanks for the video.