- #1

- 452

- 0

## Homework Statement

Find the general solution up to degree 6 of y'' + ty' + y = e

^{-2t}

## Homework Equations

## The Attempt at a Solution

I know how to solve it for y'' + ty' + y = 0, but what do I do about the e

^{-2t}?

- Thread starter cse63146
- Start date

- #1

- 452

- 0

Find the general solution up to degree 6 of y'' + ty' + y = e

I know how to solve it for y'' + ty' + y = 0, but what do I do about the e

- #2

Mark44

Mentor

- 34,535

- 6,230

- #3

- 452

- 0

am I supposed to use taylor's polynomials for the e^{-2t} after?

- #4

Mark44

Mentor

- 34,535

- 6,230

Start with the assumption that y = a

- #5

- 452

- 0

For example

(....)t = degree 6 of e

(....)t

(....)t

and so forth

or would it look like this:

(....)t = degree 1 of e

(....)t

(....)t

and so forth

- #6

Mark44

Mentor

- 34,535

- 6,230

Don't forget the degree 0 term on each side.(....)t = degree 1 of e-2t

(....)t2 = degree 2 of e-2t

(....)t3 = degree 3 of e-2t

and so forth

- Replies
- 2

- Views
- 1K

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 4

- Views
- 6K

- Last Post

- Replies
- 1

- Views
- 954

- Replies
- 2

- Views
- 4K

- Last Post

- Replies
- 1

- Views
- 1K

- Replies
- 6

- Views
- 3K

- Replies
- 1

- Views
- 906

- Replies
- 3

- Views
- 1K

- Replies
- 2

- Views
- 1K