- #1
frozenguy
- 192
- 0
So its not a problem, but a step in an example that I need explained. The section is solutions by substitutions and its an example of solving a homogeneous DE.
Step goes from:
[tex]\left(x^{2}+u^{2}x^{2}\right)dx+\left(x^{2} - ux^{2}\right)\left[udx + xdu\right]=0[/tex]
to:
[tex]x^{2}\left(1 + u\right)dx + x^{3}\left(1-u\right)du=0[/tex]
It had previously set y=ux, a few steps back.
Step goes from:
[tex]\left(x^{2}+u^{2}x^{2}\right)dx+\left(x^{2} - ux^{2}\right)\left[udx + xdu\right]=0[/tex]
to:
[tex]x^{2}\left(1 + u\right)dx + x^{3}\left(1-u\right)du=0[/tex]
It had previously set y=ux, a few steps back.