Question

help!!!

solve the differential eqn pair :

x'-x+y'=0
2y'+x'=4e^t

given x(0)=0 and y(0)=-18

Answer 1

you familiar with operator notation?

Answer 2

whoah!!! no

Answer 3

O, its cool.

Convert it to look like this.
(D-1)x + Dy = 0
Dx + 2Dy = 4e^t

do you se how I got that?

Answer 4

wher dd u get (D-1)x

Answer 5

x'-x = (D-1)x

Operator notation is all about treating derivatives like variables.
here is anotherr example:

2x' -5x = (2D-5)x

Answer 6

ow yes... i see

Answer 7

and wat do i do next?