- #1

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## 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}?

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- Thread starter cse63146
- Start date

- #1

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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

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- 35,631

- 7,501

- #3

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

- #4

Mark44

Mentor

- 35,631

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Start with the assumption that y = a

- #5

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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

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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

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