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# Differential equations

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1. Find the general solution to the differential equation
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2. (Original post by Ano123)
Find the general solution to the differential equation
.
My first thought is to try y=Asin^2(x)+Bcos^2(x)+Csin(x)cos (x)+De^x + Ee^2x

There are proper methods for finding the general one :s (and I can't exactly recall them)

You could do the CF method on top of that I guess?
(Setting it = 0, finding the auxiliary equation and then adding multiples of the answer that gives you (which would be De^x+Ee^2x) to a single found solution (which would be the Asin^2x etc))

I love not being coherent
3. (Original post by Ano123)
Find the general solution to the differential equation
.
Do you usually just post the question for others to answer without giving any shown attempt or...?

for simplicity.
4. (Original post by Ano123)
Find the general solution to the differential equation
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What have you tried so far?
5. (Original post by Ano123)
Find the general solution to the differential equation
.
Disappointed in you. Normally I look at your questions and say wtf is going on. This one I can actually do!
6. (Original post by IYGB)
Disappointed in you. Normally I look at your questions and say wtf is going on. This one I can actually do!
Yeah he's been slacking lately. That square in a circle was pretty straight forward and now this!

Someone's losing their game, it seems.
7. (Original post by Ano123)
Find the general solution to the differential equation
.
Are you going to post some of your thoughts on this, or do you just want everyone else to do the work for you?
8. (Original post by IYGB)
Disappointed in you. Normally I look at your questions and say wtf is going on. This one I can actually do!
I thought the particular integral was tough but the double angle formula makes it easy. I used variation of parameters and now feel a bit silly it was so easy.

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