Solve the following for y(x);(adsbygoogle = window.adsbygoogle || []).push({});

y'' - 3y' + 2y = 0

I kind of know what to do up to a point but after that I`m stuck (bad notes and no text book!!!).

Here`s what i`ve done so far, if someone could hint as how to finish this question i should be able to do the other 9 I have.

let y = e^rx then y' = r e^rx and y''= r^2 e^rx

therefor

r^2 e^rx -3re^rx + 2e^rx = 0

or

r^2 -3r +2 = 0

or

(r-2)(r-1)=0

i.e. r=2 and r=1

now i`m stuck!! What do i need to do to find the solution?

(sorry about the lack of latex but my pc refuses to display it! so if you could not use it i would be gratefull)

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# Homework Help: 2nd order homogenous differential equation

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