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**Mod note: Moved from a Homework section**

can i use the Laplace transform to solve a nonhomogeneous equation if

i have these Initial condition s(x) and s(-x)

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- #1

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can i use the Laplace transform to solve a nonhomogeneous equation if

i have these Initial condition s(x) and s(-x)

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- #2

BvU

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A first order differential equation only needs one initial condition, so the two you have might contradict each other.

A second order needs two. One per differential. So if you have two for the differentiation wrt x only, you are back to the previous problem. And you still don't have anything for ##{d\over dx}({d\over dx})##

- #3

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Looks like you have a boundary value problem not initial value problem. If your DE is a linear constant coefficient, I think you still can solve it with Laplace transform.Mod note: Moved from a Homework section

can i use the Laplace transform to solve a nonhomogeneous equation if

i have these Initial condition s(x) and s(-x)

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You have to use power series solutions, if the coefficients are non constant. This is just a guess, because you have not posted the DE you have questions on.Looks like you have a boundary value problem not initial value problem. If your DE is a linear constant coefficient, I think you still can solve it with Laplace transform.

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