anonymous
  • anonymous
Need help w/ linear differential equations... If: L1=D+1, L2=D-2X^2 ; where D is your differential operator. What is L1L2 and L2L1?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
what is L1 & L2...?
anonymous
  • anonymous
function,operator...?
anonymous
  • anonymous
Its in the question, D is the differential operator.

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anonymous
  • anonymous
if I'm reading it correctly...: L1L2=(D+1)*(D-2x^2)=D^2 -D(2x^2) +D(1) - 2x^2=D^2 -4x -2x^2
anonymous
  • anonymous
The answer for L1L2 is: D^2+(D-2x)D-2x(x+2)
anonymous
  • anonymous
I just don't understand how they got that..
anonymous
  • anonymous
me too... looking at that now... may be light will come up..:) give me a min
anonymous
  • anonymous
o.k thanks.
anonymous
  • anonymous
what they are asking is to show that L1L2 does not equal L2L1.
anonymous
  • anonymous
can't get it... I see D^2 + (D-2x)D... but where is -2x(x+2) comes from?
anonymous
  • anonymous
yeah, thats what I thought...
anonymous
  • anonymous
I dont know if they are doing some product rule....
anonymous
  • anonymous
L2L1 is D^2+(1-2X)D-2x^2
anonymous
  • anonymous
I'll play with it... let you know
anonymous
  • anonymous
thanks.
anonymous
  • anonymous
still getting L1L2=L2L1... did you try internet?
anonymous
  • anonymous
yeah. I dont think that they are just multiplying them together

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