Method of Undetermined Coefficients Explained Part 1

[@TheMathSorcerer]

[@ozgurbars5953]

sir at the last example is it y_p=......+B.cos(2x) or B.cos(4x)

[@TheMathSorcerer]

yeah I messed up, it's the one with cos(4x)

[@ozgurbars5953]

The Math Sorcerer thank you sir :)

[@SrushtiVyas]

@@TheMathSorcerer pin this comment, it will help people

[@humayra2426]

I'm struggling to understand this problem y"+y=3sin(2t)+tcos(2t) . Can you please please explain the particular equation of this problem? Also it would be great if you explain the full problem. Thank you in advance the math sorcerer. I understand your lecture clearly.

[@olivioarmandocordeirojunio8280]

Thanks a lot for sharing.

[@briendamathhatter816]

Have you done any videos extending this to systems?

[@TheMathSorcerer]

Not yet

[@briendamathhatter816]

@@TheMathSorcerer Okay, ahhh, I see your case for the textbook...

[@rabbitistherobot8705]

good evening, on examples of where we can use this method you said no to 1/x + sec(x) function, even if we write sec(x) as 1/cos(x) and move it to numerator would that be still a no since it is on denominator?

[@TheMathSorcerer]

correct,that would still be a no

[@rabbitistherobot8705]

@@TheMathSorcerer Thank you.

[@lordyabo9910]

If g(x) = x^3, does that mean the Yp = Ax^3 + Bx^2 + Cx + D?

[@AstroCoffin]

You write it as polynomial with constants as coefficients and variable of descending power added up

[@paraaafifi5949]

Why should we buy your Course on Udemy, when you offer it for free here?

[@jakerupert3603]

awesome! thanks math sorcerer!

[@TheMathSorcerer]

Np, I am glad it helped!!

[@Hi_Brien]

Once again, don't mind me, I just be jumping around to stuff my professor hand waved a little much for me at the beginning of the first lecture, and I'll be taking many spammy notes in the comment section.

[@Hi_Brien]

Okay, so when the RHS has a nice derivative and a nice integral we can use this, got it.

[@Hi_Brien]

yp is a value y can take, so we plug that into the DE, we plug in its derivatives as well. Okay honestly, this isn't hard, I'm just psyching myself out.