Reduction of Order - Why It Works
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Reduction of Order - Why It Works. In this video, I give a proof / justification of the reduction of order method. This method says that if we have one known solution, we can use this method to find another solution to our second order differential equation.
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my pleasure about sharing the bit of things i (re)learn! thanks for recommending me to your friends, i appreciate it.
This explanation saved me big time! thanks Patrick!
thank you very much for sharing your knowledge. this helped a lot and keep up your good work :) I will recommend you to all my friends!
Rip all EarTeliphone user at 5:16!!
Wonderful! Now I can understand the technique. Thank you.
looked for this a week ago and was hoping to find a video of it and voila, now you have one!! you're a saviour man. I tell everyone in UBC engineering about you. If this degree pays off, I'll be sending you some dolla dolla bills! haha
@takudzwamukura7172
4 жыл бұрын
Did you send him some dolla bills?
LOL are you spying on my life? Prof just taught this yesterday at university. LOL thanks!
i was just in my calc 2 class today and told them to check out jmt too!
Thanks ! great explanation
Proof was very helpful, thanks
I hope you’re rich. I’ll send you my diploma when I graduate.
@serden8804
3 жыл бұрын
what he will do with your diploma, if you're appreciated then donate some money. who fucks a diploma
best explanation out there
I love your mind , really
Anybody can explain how y=v*y1 was conceived? How can one arrive at the idea that the second solution is just equal to the first solution multiplied by a function of x? Any proof on that? Intuition?
Can absolute values be ignored in problems like these? If so, why?
why isnt this on your site?
Can you find the particular solution from this problem, y''+6y'+9y=x^(3)e^(2x)+3xe^(x)sinx+6cosx+3 ? Thank you!
thanks!! :)
Power series solution....you can do it.
I am taking differential equations. In the textbook, each type of differential euqation is grouped in its own section. In the exam, there will be no sections, the equations will be mixed up. How can I determine which type of differential equation it is so I can use the appropriate solution method? For ex, subsitution, linear, exact equations, separable variables.
How did I even get here? FML
I don't think you really reduced the order of the existing equation. You merely substituted the first derivative by a variable and hence you got a 1st order ODE. What if I want to retrieve the final solution in terms of un-transformed variables? - I would have to integrate the equation twice.
I knew this method by tom apostol calculus book. But I used on ordinary differential equations the Boyce-Diprima book, which doesnt show this method.
Isn't this just the Wronskian method?
So many unknowns
you didn't solve it!!! aughhh!!!
@idreesk93
5 жыл бұрын
Rest of solution google, “nagel differential equations solutions slader” it will be problem 50 in section 4.7
>Homogenous >Not homogeneous k