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freckles
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Integrate both sides
What do you get when you integrate 0?

waterineyes
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\[\frac{d^2x}{dy^2} = 0\]

freckles
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What is derivative of any constant?

Outkast3r09
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y''=0

Outkast3r09
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using the auxilary equation

Outkast3r09
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m^2=0

Outkast3r09
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you get m=0 k=2

Outkast3r09
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what does your book say about repeated roots and distinct roots