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## Homework Statement

I required to make a perturbation expansion in ε of the function:

## Homework Equations

A(X,y,z)=A(x-εsin(wy),y,z).

X=x-εsin(wy)

## The Attempt at a Solution

Solution:

A(X,y,z)=A

_{0}(X,z)+ε[A

_{1}(X,z)+∂/∂XA

_{0}(X,z)]sin(wy)+o(ε^2)

I get the terms A

_{0}(X,z) and ∂/∂XA

_{0}(X,z)sin(w,y) with the derivative with respect to ε . But I could not get A

_{1}.

Thanks

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