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lilMissMindset
 2 years ago
urgent please!
how do i determine the value of the coefficients of this?
2Ae^x + B + Cx = 5e^x 162x
lilMissMindset
 2 years ago
urgent please! how do i determine the value of the coefficients of this? 2Ae^x + B + Cx = 5e^x 162x

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asherwood3
 2 years ago
Best ResponseYou've already chosen the best response.0Remember Coefficients are the numbers in front of your variables. Variables are x , y, m , d... etc... letters. So the value of the coefficients will be the number in front of your variables... right?

AnimalAin
 2 years ago
Best ResponseYou've already chosen the best response.1You match the coefficients with the corresponding terms. The e^x terms on both sides of the equation have to be the same, so A=5/2. Similarly, C=162 and B=0.

lilMissMindset
 2 years ago
Best ResponseYou've already chosen the best response.0i need a value of A, B and C

AnimalAin
 2 years ago
Best ResponseYou've already chosen the best response.1Do you understand my explanation?

lilMissMindset
 2 years ago
Best ResponseYou've already chosen the best response.0how did they match?

AnimalAin
 2 years ago
Best ResponseYou've already chosen the best response.1On the LHS, there are three terms, the e^x term, the x term, and a constant term. On the right hand side, there are two, just the e^x term and the x term. If the LHS=RHS, the corresponding terms have to be equal. That means 2A=5, and C=162. Since there is no constant term on the RHS, B=0.

lilMissMindset
 2 years ago
Best ResponseYou've already chosen the best response.0why is it that the answer on my book is C=18 and A=1/2

AnimalAin
 2 years ago
Best ResponseYou've already chosen the best response.1I have no idea. I know that my answer solves the question you stated at the top.

lilMissMindset
 2 years ago
Best ResponseYou've already chosen the best response.0i'll just figure it out. thanks a lot. :) can you answer another question? please.

AnimalAin
 2 years ago
Best ResponseYou've already chosen the best response.1This has to do with the linear independence of the functions. You can't state a linear function in terms of a constant or an exponential, or visaversa. So the exponential part has to match the exponential part on the other side, the linear part has to match the linear part on the other side, and the constant part has to match the constant part on the other side.
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