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The functions f(x) and g(x) satisfy f(0) = 3, g(0) = -4, and

 

f'(x) = 7f(x) + 2g(x),

g'(x) = -4f(x) + g(x).

 

Find f(x). 

 Jul 26, 2021
 #1
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$f(x) = 2e^{2x} - 5e^{3x}$.

 Sep 15, 2021

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