I'm asked to determine if for the solution(adsbygoogle = window.adsbygoogle || []).push({});

[tex]y=c_{1}e^{x}cos(x)+c_{2}e^{x}sin(x)[/tex]

for:

[tex]y"-2y'+2y=0[/tex]

whether a member of the family can be found that satisfies the boundary conditions:

[tex]y(0)=1[/tex], [tex]y'(\pi)=0[/tex]

Not quite sure what to do here. The examples in my book give boundary conditions for the same function, not derivatives.

When I put the first condition into y, I got c_{1}=1, then substituting that result into the derivative condition I found c_{2}=-1. So I found the constants, does this mean that there is a member of the family that can satisfy the boundary condition? For some reason I think there should be a Wronskian involved.

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# DE Boundary Condition Problem

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