Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1
This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations.
Site: mathispower4u
This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations.
Site: mathispower4u
Пікірлер: 66
Finally someone with nice handwriting and good quality video! Thanks!
Thanks for explaining why you're doing each step! So helpful. :)
I use so many of your videos for references! thank you so much! keep on doing what you're doing :)
@SigmaLiving
8 жыл бұрын
I also love you inspirational quotes at the end of the videos!
Thanks for the video it helped me plenty. When you watch this video and the one involving the shortcut method you appreciate why the shorter method is much more convenient.
Thank you so much.Why have you assumed C2 to be 1?
Love that the problem can also be solved using the Euler-Cauchy method, helped piece together in my mind the relation between the two!
@RAlishaSMECS
Жыл бұрын
BUT I AM NOT GETTING to connect them could you just explain
Thankyou so much. I just went over this in my advanced applied math class and was so lost. This video helped a lot.
Thank you. It's nice and simple but very informative!
I was getting lost in my textbook because it skips so many steps. This video finally helped me understand this procedure!
Really helpful as always, thank you!!!
thank you for your great work .i understand it numerical more clearly
Very helpful. Thank you so much!
many thanks :) great video. so helpful!
love ur stuff
you told at the beginning of the example that we assume second solution as y = u * y1 but after finding y you treat it as general solution. I couldn't get that. Shouldn't that total expression be the second solution? Because we assumed it as so first.
Thank you! Really helpful :)
very helpful, clearly explained
Many many thanks😍...soo helpful
thanks u have solved my issue..
can you please tell which stylus do you use to make videos
Love u sir...❤️❤️❤️ God bless u🙏🙏
very helpful video thank you :)
Amazing,thank you!!!
thank you Sir you are the best!!!! #ResepectFromSouthAfrica
Honestly I think I might love you. Thank you.
when you integrated w and x,and added the Ln to only w and x it would have been simpler if you add the ln to the c as well then grouped in this form Ln(c/x) then canceled the Lns with e.
Could you upload a video on laplace transform pls
Since power of x is the same as order of derivatives, couldn't we have used Cauchy-Euler?
Thanks!
in 10 minutes he explained the concept in an easily digestible way.
Thank you Sir!
Thanks brother 👊
really useful
Thanks!! :D
THANK YOU!!!
In this method we must have one solution to ODE to find another solution, so if we have one solution for a given ODE the why are we finding another solution ?
What is the difference between this and an euler ODE? Just what is being asked?
@ToddHowes
8 жыл бұрын
+Lelouche DFO The difference is Euler's method will give you exponential solutions instead of a natural log solution.
U the best👊🇷🇼
what does second solution literally mean?
For this example, you can also find the indicial equation. Takes a lot less time.
Thanks
Why can we assume y2=u(x)*y1? :P
it's almost okay, I just dont get the last part where you get the second solution
@mg1881
2 жыл бұрын
Think of the line at the bottom being the general solution y = ysub1(x) + ysub2(x). The goal is to find ysub2(x), and that's one of the terms in the general solution.
Why doesn't the second solution include C1(x^2)?
@jammy2003
6 жыл бұрын
Nvm I got it. x^2 is already the given solution.
Who would you solve an similar equation like this one but if it didn't contain q(x)y'?
thank you sir
@Mathispower4u
Жыл бұрын
Thank you for your comment.
answer is still wrong according to my online assignment smh, they always want it in some specific format
im confused on how you found the second solution
@abdulmuqeet9961
Жыл бұрын
did you get the answer?
good
what! no quote?!?!?
What is homogeneous here? I did not understand the term homogeneous aspects here. What exactly homogeneous here? How exactly homogeneous here? Why it is homogeneous differential equations?
@Mathispower4u
11 ай бұрын
I hope this helps. kzread.info/dash/bejne/dq2E1ZKdesjYYJc.htmlsi=HyUgl_jE3gJu5BYQ
The given equation I had in my exam was (e^x)/x ...
10:11 Oh, you bet it was!
was hoping for a quote at the end =/
Important
when non homogeneous equation is given what we do
Ok
No bc why did math kinda eat with the reduction of order, I was mind blown