Find the general solution of the ordinary differential equation.(adsbygoogle = window.adsbygoogle || []).push({});

y'' - 7y'+ 6y = 2e^(3t) + te^(t)

First i found GS(H) by lettings y = e^(cx)

and got GS(H) = Ae^(6t) + Be^(t)

i then found PS(IH) y'' - 7y'+ 6y = 2e^(3t) by letting y = ae^(3t)

and got PS(IH) = -(1/3)e^(3t)

Now my problem

I am trying to find the other PS(IH) y'' - 7y'+ 6y = te^(t)

do i do this by letting y = (a+bt)e^(t) ??

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: General solution to 2nd order ODE

**Physics Forums | Science Articles, Homework Help, Discussion**