Special Case : Particular Integral (Exp) : 2nd Order Linear Differential Equation : ExamSolutions

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Tutorial on special case and the particular integral.

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struggled for 2 weeks and one 8 min video was all i needed lol (thank u)

wade-wrkl
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Thank you! Had this same example in a past paper but my notes didn't explain it. Thankfully you exist.

UgoPS
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Was wondering where I was going wrong. This video helped a lot thanks a million

Browno
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Before Calculus 2 exam this saved me. I really appreciate the clear method of solving your problems. Congrats teacher of our hearts!<3<3

Steeeef
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What if we have a constant term or a natural number in RHS? What about PI in that case?

dt_
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You are an excellent teacher. thankyou so much :)

euphoriamorninguk
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what abut the a, b, c in f(d), they are not adding by the find to p.i ?

niwanthamadhusanka
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3:09 "We can't have the same kind of term in both situations." - WHY?

stumbling
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Why DOES the general solution = CF + PI? Why can't the general solution just be the particular integral, because that covers all cases, including 0, no??? This is really confusing to me. Please help!!!

MunkyChunk
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By variation of parameters method we get different

parthpatel
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I thought particular integral was -y1 integral (y2*x/W) where W is the wronskian?

abelmedina
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how to find any equations what applied particular integral or cauchy's differation equations

srishtipooja
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can we apply this same algorithm to third order differential equations?

hssyjrocker
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Please can please tag the first lecture in First order differential

vicsalaomachidiebere
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what if it was e^2(Acosx+Bsinx) as the c.f or e^2(A+Bx)?

surajtailor
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if the CF was originally a repeated root, so already had an e^x with an x coeffiecent, would the initial y in this example be equal to e^x with a coeffeicent of x^2?

jeanvaljean
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What if we have 0 in place of RHS? PI will be equal to zero?

dt_
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nice vid but how to find P.I. in sin + cos form like y"+4y=x^2 sin 2x???

novaldopanjaitan
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what if there is imaginary solution of auxillary equation

shrutiswarnkar
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how do I find the particular integral (pi) for ln|x|?

goodpeoplealwaysdie