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This is regards to constant evaluation when using differential equations. A solution is given to be:...

This is regards to constant evaluation when using differential equations.

A solution is given to be: y=(e^2x+e^x ) ln⁡(1+e^(-x) )-(c_1+1) e^x+(c_2-1) e^2x A simplified solution in an answer book is given as: y=(e^2x+e^x ) ln⁡(1+e^(-x) )+(c_1 ) e^x+(c_2 ) e^2x

There is a change in sign of c_1 in the third term. C_1 is a constant and not specified to be positive or negative or is it supposed to be positive and that information is simply not specified. I never know how to interpret this kind of results. Can someone explain, please? Thank you.

Sincerely, MM

Math   Advanced-Math   
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