Question

can anyone plz solve y'' - y = 8*e^-3*x ????
plz it is urgent ......

Answer 1

e^(-3x) or (e^-3)*x
Am assuming the former one ?

Answer 2

the 1st one. and also the paricular solution is e^(-3*x)..

Answer 3

y= C e^(-3x) works right ?
y' = -3C( e^-3x)
y'' = 9C(e^-3x)

=> 9C(e^(-3x)) - C(e^-3x) = 8(e^(-3x))
C=1

so y=e^(-3x) is a solution.

Answer 4

what about the value of C ??????? can it be any cosnt or somthing else ?

Answer 5

We just solved it, C=1

Answer 6

infact, Ae^x + Ce^(-3x) can also be a soltuion.

Answer 7

where C=1 and A can be anything

Answer 8

thnak u....

Answer 9

I am pretty sure there might be more solutions to it.
Nevermind