Linear differential equation problem

  • Thread starter tunabeast
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  • #1
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Homework Statement


[tex] \ \frac{dy}{dx} + 2y = xe^x [/tex]



Homework Equations





The Attempt at a Solution


I'v only ever solved differential equations where values can be seperated easily, i understand i may have to use something called the integrating factor but this does not seem to fit the formula layout of

img1.gif
 

Answers and Replies

  • #2
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The equation you presented:

[tex]\frac{dy}{dx}+p(x)\cdot y=q(x)[/tex]

is a linear differential equation of the first order. This is the next type you learn after the ones you can separate immediately. It has a general solution. What is your knowledge on the ways for solving these? You should have some idea about this, can you show an attempt of solving it?
 
  • #3
Hurkyl
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[tex] \ \frac{dy}{dx} + 2y = xe^x [/tex]
... does not seem to fit the formula layout of

img1.gif
Why not? What doesn't match?
 
  • #4
HallsofIvy
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Remember that p(x) and q(x) can be 'constant functions'.
 

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