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Question: extracting coefficients of exponential functions

Question:extracting coefficients of exponential functions

guras 100 Maple 13
solve exponential coefficients
June 20 2018
1

 

Consider for instance the following equation:

Eq:=(a-4)*exp(4*x)+(b+1)*exp(2*x)+(c-2)=0

How can I list the coefficients of the exponential functions and also solve the equation for the constant parameters 

a, b, and c?

I tried 

[coeffs(collect(lhs(EQ), exp), exp)] =~ 0;

but it did not work. Thank you for your help.
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