I'm getting following values of constants:
$C1 = 0$
$ C2 = 0$
$C3 = e$
$ C4 = 1$
But in my solution manual of the book, the constant values are coming like this:
$C1 = 0$
$ C2 = 0$
$C3 = 1$
$ C4 = 1$
I wanted to know if I am doing it wrong or there's some printing mistake in the solution manual of the book I have got?
Update:
Here's my procedure:
$D^3(D-1) = 0$
$D=0,0,0,1$
$y = c_1 + c_2x+c_3x^2+c_4e^x$
$y' = c_2+2c_3x+c_4e^x$
$y'' = 2c_3+c_4e^x$
$y''' = c_4e^x$