Laplace transform to solve a nonhomogeneous equation

[victor77]

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)

 

[BvU]

Hi,
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 ${d\over dx}({d\over dx})$

 

[matematikawan]

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)

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.

 

[MidgetDwarf]

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.

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.