- #1
UrbanXrisis
- 1,196
- 1
I'm not quite sure if this is a linear functional but the question asks:
if [tex]L=D^2+4xD-2x[/tex] and [tex]y(x)=2x-4e^{5x}[/tex]
I am to find Ly=?
My first impressions to solve this is the take [tex]Ly=y''(x)+4xy'(x)-2x[/tex]
i'm not quite sure how to solve this but I got:
[tex]y''(x)=-100e^{5x}[/tex]
[tex]y'(x)=-20e^{5x}+2[/tex]
and then I plug it into [tex]Ly=y''(x)+4xy'(x)-2x[/tex]
I don't think I did this correctly, could someone help me out?
if [tex]L=D^2+4xD-2x[/tex] and [tex]y(x)=2x-4e^{5x}[/tex]
I am to find Ly=?
My first impressions to solve this is the take [tex]Ly=y''(x)+4xy'(x)-2x[/tex]
i'm not quite sure how to solve this but I got:
[tex]y''(x)=-100e^{5x}[/tex]
[tex]y'(x)=-20e^{5x}+2[/tex]
and then I plug it into [tex]Ly=y''(x)+4xy'(x)-2x[/tex]
I don't think I did this correctly, could someone help me out?