- #1
DoubleMike
- 39
- 0
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.
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.
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.