Question

Y''+5Y'=50x

Answer 1

http://www.wolframalpha.com/input/?i=dsolve+y%27%27%2B5y%27%3D50x

Answer 2

The above is to check your answer. Do you know how to proceed to do it?

Answer 3

setting y'' + 5y' = 0
auxiliary equation is
m^2 - 5m = 0
which has roots m = 0 and m = 5
which gives the general solution
c1e^5 + c2e^0

do you know how to continue ?

Answer 4

oops sorry i made an error

its m^2 + 5m = 0
and general solution is

c1e^-5 + c2

Answer 5

tnx guys :)

Answer 6

you now need to find the particular solution