solve the equation using variation of parameters
y" + 9y' = 1 + xe^9x
need this tomorrow. please help.. :D

Question

solve the equation using variation of parameters 
y" + 9y' = 1 + xe^9x
need this tomorrow. please help.. :D

anonymous · Answer

wait for sometime or post it again later, I am not good at differential equations but myininaya or amistre might help you

anonymous · Answer

okay i'll wait for your response.. :)

myininaya · Answer

i know how to do 
but i don't know this variation of parameters way

anonymous · Answer

what do you mean?

myininaya · Answer

i know how to do it but i don't the variation of parameter way

anonymous · Answer

okay go. :)

anonymous · Answer

how you solve it?

myininaya · Answer

ok so what i would do is 
do 
let
$$y=Ae^{9x}+Bxe^{9x}+C$$
and solse i would solve the homogenous equation

myininaya · Answer

and also i would*

anonymous · Answer

how?

myininaya · Answer

what do you mean how
thats what i'm let y=
and then find y'
and then find y''
and see what A, B , and C need to be in order to solve the differential equation

anonymous · Answer

after that,  find Yp.

myininaya · Answer

well that is y_p we are finding above
we also need to find the homogenous solution