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## Main Question or Discussion Point

There is differential equation with initial condition perplexing me.

y'+ y = 1, y = ce^-x + 1 , y = 2.5 when x = 0

First I take derivative of y which is -ce^-x then I sum it up with y which is -ce^-x+ce^-x + 1 equals 1 which is in harmony with y' + y = 1 but it

seems that this is independent from integral constant c and so there are infinite number of c but in the answer c is -1.5.

Have a nice day.

y'+ y = 1, y = ce^-x + 1 , y = 2.5 when x = 0

First I take derivative of y which is -ce^-x then I sum it up with y which is -ce^-x+ce^-x + 1 equals 1 which is in harmony with y' + y = 1 but it

seems that this is independent from integral constant c and so there are infinite number of c but in the answer c is -1.5.

Have a nice day.