# Homework Help: Differential Equation with Boundary Conditions II

1. Aug 24, 2010

### ookt2c

1. The problem statement, all variables and given/known data
$$d^2T/dx^2 + S^2*T+B=0$$
Boundary Conditions:
$$dT/dx=0$$ @ x=0
T=T_2 @ x=L

2. Relevant equations

3. The attempt at a solution
I think you either have to make some type of substitution or find the roots and do it that way.

P.S. This is assignment is a review of diff eq for Heat Transfer
I took diff eq 2 years ago and havent used is since until now but its quickly coming back to me. Just looking for someone to point me in the right direction. Thanks
1. The problem statement, all variables and given/known data

2. Aug 24, 2010

### lanedance

this is a non-homogenous (though that has several different meanings) 2nd order ODE

so i would write it as
$$d^2T/dx^2 + S^2T=-B$$

find the complementary solutinos by solving
$$d^2T/dx^2 + S^2T=0$$

and then try and find a particular solution