- #1
reece
- 9
- 0
Hi, I can solve homogeneous laplace fine, but with RHS i get stuck half way through.
Q:
y' +3y = 8e[tex]^{t}[/tex]
y(0) = 2
Working as if it was homogeneous..
sY(s) - 2 + 3Y(s) = 8 . [tex]\frac{1}{s-1}[/tex]
Y(s) (s+3) - 2 = 8 . [tex]\frac{1}{s-1}[/tex]
I think the next step is
Y(s) = [tex]\frac{2}{s+3}[/tex] + [tex]\frac{8}{s-1}[/tex]
and then do partial fractions but i don't think it leads me to where I need to be. I think i need to make it into a heaviside ??
Any help would be great. thanks
Q:
y' +3y = 8e[tex]^{t}[/tex]
y(0) = 2
Working as if it was homogeneous..
sY(s) - 2 + 3Y(s) = 8 . [tex]\frac{1}{s-1}[/tex]
Y(s) (s+3) - 2 = 8 . [tex]\frac{1}{s-1}[/tex]
I think the next step is
Y(s) = [tex]\frac{2}{s+3}[/tex] + [tex]\frac{8}{s-1}[/tex]
and then do partial fractions but i don't think it leads me to where I need to be. I think i need to make it into a heaviside ??
Any help would be great. thanks