- #1
jtabije
- 10
- 0
Hey Guys! I've frequently come by this forum and have finally joined it in hopes that I could get some more conceptual insight in understanding math.
One thing that I have trouble with is absolute values. I understand that:
|x|= [tex]\sqrt{x^2}[/tex] .. and how it can be defined given restrictions on x.
..but I'm having some trouble trying to completely understand and confidently use them in some contexts.
For example, consider this simple first-order linear differential equation:
xy' + y = [tex]\sqrt{x}[/tex]
Assuming you don't do this through inspection, you would get an integrating factor I such that:
I = e^ln(|x|) = |x|
How would one utilize that to find the solution given no bounds and restrictions on x?
One thing that I have trouble with is absolute values. I understand that:
|x|= [tex]\sqrt{x^2}[/tex] .. and how it can be defined given restrictions on x.
..but I'm having some trouble trying to completely understand and confidently use them in some contexts.
For example, consider this simple first-order linear differential equation:
xy' + y = [tex]\sqrt{x}[/tex]
Assuming you don't do this through inspection, you would get an integrating factor I such that:
I = e^ln(|x|) = |x|
How would one utilize that to find the solution given no bounds and restrictions on x?