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Linear differential operator

Problem states " if L[y] =ay'' +by' +cy, where a,b,and c are constants, compute
L[e^rx], where "r" is constant. Is this just a matter of substituting for "y"? Please work out, thanks!

Solution Preview

Given L[y] =ay'' +by' +cy

To find L[e^rx], we first let y=e^rx.
Then ...

Solution Summary

This solution is comprised of a detailed explanation to compute L[e^rx], where "r" is constant.

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