- #1

fufufu

- 17

- 0

## Homework Statement

x' = 3x - 4y

y' = 2x + 3y

x(0) = 1

y(0) = 0

## Homework Equations

y' = sY(s) - y(0)

## The Attempt at a Solution

i am confused as to how to take laplace of either equation when i am left with a term i can't take the laplace of: specifically,

x' = 3x - 4y

sX(s) - 1 -3X(s) = -4Y(s)

Y(s)[s-3] - 1 = -4Y(s)

at this point i will usually solve for X(s) and then take the relevant inverse transforms. But what am i supposed to do with the Y(s)?? I know the general idea is to make this into an algebra prob of 2 equations and 2 unknowns but how do you take inv L.T. of an equation with X(s) and Y(s)?

thanks for any help.

(its same problem as here https://www.physicsforums.com/showthread.php?t=249363 but thread is closed otherwise i wouldv resurrected thread.. that worked problem helped a lot but didnt explain how to take the transforms when x's and y's are in 1 equation...thanks for any help

## Homework Statement

## Homework Equations

## The Attempt at a Solution

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