Determine the form of a particular solution, second order linear differential equation, sect 4.4#31

Determine the form of a particular solution,
Form of a particular solution with undetermined coefficients,
particular solution for a non-homogeneous differential equation,
second order non-homogeneous linear differential equations,

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[iYeetThings]

i learn from this guy more than i learn from my teachers with PhDs

[warrickdawes]

Adding more bloopers will make these like Jackie Chan films LOL!

Great content as usual, by the way.

[oliveogoula]

Thank you SO much you're so good in teaching

[NaniGC]

lol that blooper made studying a tad less stressful

[irkallaxeynoxshen]

4:07 Multiply by TNT
Maths are powerful

[mea]

That coefficient in the front always gets me.
Can anyone answer why 2x+9-e^-2x gives Yp =Ax^2+bx+cxe^-2x ? Not sure why the polynomial changed to a 2nd degree and the C was multiplied to the e.

[marcdmcl]

great content, try the other particular solution, he is very entertaining makes you want to learn more about math..

[sisosos]

Thanks alot that's was really helpful

[zara]

what if sin(t) was cos(t) in the initial problem instead? then how would you do it?

[Autocoder]

Thank you so much, you're amazing

[nordgothica]

Hello. Why do you have to multiply Yp by after seeing the form of the Yh? Why specifically do you multiply by t?

[silentpitz]

what is the value of A, B, C, .. up to H? the solution is not complete????

[joaquinsolissilva]

dude u r awesome xD greetings from Chile

[kaursingh]

sir i do not under stand --please give steps

[ZeroSectionStyle]

I mean, it will be impossible to solve for constants here :/ isn't there another way?

[FahadRazaKhan]

So we have to solve for 8 constants, A...G?

[FireSymphoney]

wait shouldn't you find yp' and yp"

[DougCube]

I watched this and expected you'd solve for the constants. Since you didn't.... You should get A=0, B=4, C=0, D=0, E=0, F=0, G=0, H=0. So y_p is just 4*(t^3)*e^(-1)*sin(t).

[Sneakyne]

lmao you stopped to think if G came after F, yea.. happens to me a lot