Differential Equation with Boundary Conditions II

[ookt2c]

Homework Statement

$$d^2T/dx^2 + S^2*T+B=0$$
Boundary Conditions:
$$dT/dx=0$$ @ x=0
T=T_2 @ x=L

Homework Equations

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 haven't used is since until now but its quickly coming back to me. Just looking for someone to point me in the right direction. Thanks

Homework Statement

 

[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