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can anyone help with solving this?
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- jacob sLv 77 months ago
Can anyone help with solving this please? y" - 4y' +4y=e^2x+2.
p(x) = e2x + 2
Therefore yp has the form Ae2x + B:
yp ' =2Ae2x
4yp' + 4yp = 8Ae2x + 4Ae2x + 4B = 12Ae2x + 4B = e2x + 2
12A = 1 -> A = 1/12
4B = 2 -> B = 1/2
Therefore:
yp = (1/12)e2x + 1/2
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