# Second order differential equations

• May 22nd 2008, 10:37 PM
ssdimensionss
Second order differential equations
Find the general solution of the ODE:

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

i did this question and got the general solution of the homogenous equation and particular solution of 2*exp(3t) correct. Howver when solving the particular solution of t*e^t, everything sorta cancelled out on the last step...someone help pls thx alot!
• May 23rd 2008, 03:17 AM
mr fantastic
Quote:

Originally Posted by ssdimensionss
Find the general solution of the ODE:

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

i did this question and got the general solution of the homogenous equation and particular solution of 2*exp(3t) correct. Howver when solving the particular solution of t*e^t, everything sorta cancelled out on the last step...someone help pls thx alot!

Try a particular solution of the form $y = (a + bt) e^t$.