- #1

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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 dont 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