Series Solutions of Differential Equations Mini-Lecture

A brief introduction to the method of solving differential equations using power series. Intended for students in a first-year calculus sequence.

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Howto & Style

Tags:

• barry
• wright
• series
• solutions
• differential
• equations
• calculus

[surgeonhashmi]

dont understand any of that. Then again I'm only a GCSE student. But how can 'y' an unknown variable be equal to a0 + a1x + x(squared) + .... How does any of that make sense ? it doesn't for me anyways. Im only 16, but plz try to explain as best u can

[smartissexy]

That's because y is not a variable, it is an unknown function of x. The solution of a differential equation is a function, and we assume that function can be written just using powers of x (x, x squared, etc).

[metalhead666fucker]

writing out terms in zigma notation would be clearer that method is clear too...

[smartissexy]

Yeah, it's often a matter of personal choice, and I chose this method essentially because thats how it was presented in the course I was TA'ing at the time. The full sigma method can be more powerful, but I find it less obvious.

[imperialcoll]

why didnt you write out summation sign and then take it from there? it would have been much clearer

[smartissexy]

I'm not sure what you're asking? Do you mean solving the differential equations leaving them in sigma notation and finding a recurrence relation? If so, it just wasn't the way the method was approached in this particular course, though it is a good one.

[rossinole]

This is fantastic. I wish my prof could explain it like this.

[haider87]

Thanks!

[NganaJHone]

I am very happy to see the vidoe from you, hopefully the others also are happy for You A brief introduction to the method of solving differential equations using power series. Intended for students in a first-year calculus sequence.

[Ondelendo]

Steady I Really Like This Video A brief introduction to the method of solving differential equations using power series. Intended for students in a first-year calculus sequence.

[bebeheuy]

Good, I like that you share this video, I wish success always A brief introduction to the method of solving differential equations using power series. Intended for students in a first-year calculus sequence.

[bxnaenae]

@burgerking220 you do a better job then

[woodng1]

missed my 2hr differential equations class (over slept) and all i have to say is thank you SOOO much lol you don't even know. might not have explained everything i need to know but it helped tons for 10min!!!

[emc031]

Oh my cosh thank you so much, that was so useful! What a legend... Keep up the good work :)

[Magicleprechuan]

Dude, i have an exam tomorrow, and this video saved my life, you are better than my lecturer, thanks.

[lovbinfr3sh]

@burgerking220 i don't know why you would say that, he's actually making it really clear; especially considering this is not an easy topic to teach

[burgerking220]

worse explanation ever!

[annie14411]

thankyou awesome video