Stationary solution to differential equation

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I am more on this level of cherry picking:

http://tothevillagesquare.org/images/cherry-picking-numbers.jpg

I also regret to inform you that I have officially given up. This kind of problem is unlikely to show up on my exam tomorrow, and *if* one pops up, I can live with not completing it.
It won't ruin my A (or B or C or D for that matter).

I'm sorry to dissappoint you guys, after all your effort. Hopefully my teacher will cover this topic more thouroughly during the next semester. (which I've heard is almost a dedicated differential equation semester)
 
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Of course :)

(and btw, sorry about the huge dimmensions )
 
It went very well for my exam, and luckily no differential equations containing those spooky sine functions :)

After studying the solution which was published earlier this evening, I feel like I'm in the right spot for an A :)