(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

y'' - 4y' + 2y = 4 + sin(2x) - cos(2x)

2. Relevant equations

3. The attempt at a solution

I have solved both the homogenous solutions:

Ae[itex]^{(2+\sqrt{2})x}[/itex]

Be[itex]^{(2-\sqrt{2})x}[/itex]

And I think they should be right.

I ran into problems trying to figure the particular solutions out though.

After calculating the wronskians I ended up with the first particular solution looking like this:

∫[itex]\frac{Be^{(2-\sqrt{2})x}(4+sin(2x)-cos(2x))}{-2\sqrt{2}ABe^{4x}}[/itex]dx

I'm not sure what to do with this integral, I don't think that integration by parts would help. (The 4 in (4+sin(2x)-cos(2x)) is giving me a hard time getting anywhere)

Does anyone see what I could be doing wrong?

If it's not understandable what I've done I could post my full solution, but I'm finding it a bit hard to format everything properly on here. (I have my full solution in a word document that I could attach if anyone is interested)

(I hope my termology is somewhat understandable, I don't normally deal with math in english. If any of my words seem out of place and you can't understand what I mean, please let me know and I'll try to explain!

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# Homework Help: Unable to solve this differential equation

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