(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I've attached the problem.

2. Relevant equations

L(1) = 1 /s

L(t^n) = n!/s^(n+1)

3. The attempt at a solution

because the question only asks for X(s) I only considered the x' + x + 4y=3 equation.

I applied laplace tranforms and got:

s X(s) - x(0) + 1/s^2 + 4/s^2 = 3/s. since x(0) = 0 it gets cancelled out so..

s X(s) + 5/s^2 = 3/s

s X(s) = 3/s - 5/s^2

therfore

X(s) = (3/s - 5/s^2) / s

only problem is, i didn't use the other equation which makes me feel i've done it wrong.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Laplace transforms of differential equations

**Physics Forums | Science Articles, Homework Help, Discussion**