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## Homework Statement

use laplace transforms to solve the differential equation

y"+2y'+17y = 1

## Homework Equations

Initial conditions are

y(0) = 0

y'(0) = 0

## The Attempt at a Solution

so it converts to Y(s) (s^2+2s+17) = 1/s

which then ends up as;

Y(s) = 1/s*1/(s^2+2s+17)

i know i need to invert the equation from laplace again but not sure how.

Im not sure if I am on the right track by re-arranging to 1/s((s+1)^2+4^2)?

Still getting used to spotting laplace eqns.

and help would be much appreciated.