My class has recently done an intro to differential equations, and although I understand the method of solving simple equations, I want to know why the method of Linear Factors works. Unfortunately my book hasn't provided a proof for it. :grumpy:(adsbygoogle = window.adsbygoogle || []).push({});

Also in the final step where you integrate both sides of the equation:

[tex]\frac{d}{dx}[uy]=uq(x)[/tex]

the book says to integrate each side in respect to the variable in them

So I would have [tex]\int\frac{d}{dx}[uy] dy= \int uq(x)dx[/tex]

This doesn't make sense, considering each side has been multiplied by different differentials.

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# Differential Equations - Linear Factor Proof

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