Express the differential equation y ‴ − 6 y ″ − y ′ + 6...

fythynwyrk0

fythynwyrk0

Answered

2022-07-04

Express the differential equation
y 6 y y + 6 y = 0
as a system of first order equations i.e. a matrix equation of the form
A ( x ) = 0
where
x  is the vector  [ x 1   x 2   x 3 ] .

Answer & Explanation

Elliott Gilmore

Elliott Gilmore

Expert

2022-07-05Added 10 answers

Here how you advance, let y'=z, then we will have the system
z 6 z z + 6 y = 0 y = z
Again, put z'=w which results in the system
w 6 w z + 6 y = 0 z = w y = z
Arranging the above equation gives
y = z z = w w = 6 w + z 6 y .
Now, I am sure you know how to write this in a matrix form.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?