anonymous
  • anonymous
Help please Find a particular solution of the given equation: y"-5'+2y=(2-6x-2x^2) e^x
Differential Equations
schrodinger
  • schrodinger
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dumbcow
  • dumbcow
this would be more help than i could give http://www.wolframalpha.com/input/?i=y%27%27-5y%27%2B2y+%3D+2e^x%281-3x-x^2%29 if you register with site you can see step-by-step solution also to get particular solution you need initial values?
dumbcow
  • dumbcow
to get you started, always solve the characteristic equation r^2 -5r +2 = 0 \[r = \frac{5 \pm \sqrt{17}}{2}\]
anonymous
  • anonymous
As for the particular solution, as a guess, try \[y_p=e^x(Ax^2+Bx+C)\]

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anonymous
  • anonymous
You might need "variation of parameters" here.

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