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Find the general solution of the given second order differential equation. $$4y''+y'=0$$ This was my procedure to solving this problem:
$r=0, -\frac14$
$y_1=e^{0x}, y_2=e^{-\frac14x}$
And this led to get the answer,
I don't really have a question unless I solved this problem incorrectly. If someone could kindly check over my work to see if I did it right, that would be great!

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Should one of the variables by $y$ or $y''$? Right now it is first order, with solution any linear function as $y'=0$ – Ross Millikan Oct 8 '13 at 18:18
You are missing $y''$. I believe it is $4y''$. – Mhenni Benghorbal Oct 8 '13 at 18:18
You can use Wolfram Alpha to check that your answer is right.… – Tyler Clark Oct 8 '13 at 19:55
up vote 1 down vote accepted

You are fine for the general solution, assuming the first term is $4y''$.

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hint you can reduce the order by putting


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