anonymous
  • anonymous
what is the solution to the nonhomogeneous equations: y''-9y=2xe^3x+5 y''+y=csc^2x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
this is more of a study site that guides you to get an answer rather than simply a site that will do your work for you.
amistre64
  • amistre64
is that a system of equations , or are you simply trying to get 2 questions answered by one post?
anonymous
  • anonymous
Its two questions in one post and I just want help specifically with finding the particular solution

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amistre64
  • amistre64
looks like they have constant coefficients; which means the homogenous part can be determined by a characteristic quadratic eqauation. the particular parts tho, hmm. the first appears to be workable from a table of "best guesses". 2xe^3x+5 best fits: yp = (ax + b)e^3x + c
amistre64
  • amistre64
the second one tho would either have to take the long route or just go to a wonskian approach to shorten in up
amistre64
  • amistre64
\[\begin{vmatrix}W_1&W&W_2\\ cos(x)&0&sin(x)\\-sin(x)&csc^2(x)&cos(x)\end{vmatrix}\]

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