2nd order ode help please

[Guest]

Hello,

i have been trying to answer the following the question and this is my solution:

y = (A1 + A2x)e3x

is anyone able to confirm is this is correct?

Thanks,

Lauren

[Guest]

Is there any reason why you cannot do the Calculus?

If [tex]y= (A_1+ A_2x)e^{3x}[/tex] then [tex]y'= A_2e^{3x}+ 3(A_1+ A_2x)e^{3x}[/tex]
and [tex]y''= 3A_2e^{3x}+ 3A_2e^{3x}+ 9(A_1+ A_2x)e^{3x}[/tex].


Now what is y''- 6y'+ 9y?