How many non cyclic groups of order 14

tehmeenasidiq 2022-05-26

How many non cyclic groups of order 14 are

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In studying a reflection-transmission problem involving exotic materials, I have come across the following linear first-order differential equation:A∂∂tg(t)+Bg(t)=f(t),(1)where A and B are constants, g(t) is associated with the reflected wave, and f(t) is a (finite) driving function associated with the incident wave. Both A and B may be positive or negative. I am interested in the behavior of the solution in the limit that A\rightarrow0.
I know there is an exact solution to Eq. (1), which is
g ( t ) = C e B t / A + 1 A t e B ( t t ) / A f ( t ) d t ,
where C=0 because g(t)=0 if f(t)=0. However, I do not understand how this exact solution reduces to the case where A=0, which is g ( t ) = B 1 f ( t ). Any insight would be greatly appreciated.
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