Mathematica: 2nd order PDE variable coefficients

[hasidim]

$$a\text{''}[t]+B[t]*a'[t]-A[t]*a[t]==0$$

a[0] = 10^-9
a'[0] = 0
a[t] = ?

The coefficients A and B are variable over time. I HAVE solved (experimental and theoretical values) for the values of A and B over the time interval of interest!

I attempted to solve for a[t] using NDSolve as one normally would when coefficients are not variable over time. No luck.

Any help would be greatly appreciated!

 

[Simon_Tyler]

Don't post the same question (https://www.physicsforums.com/showthread.php?t=434631) on multiple forums...