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## Homework Statement

Find coefficients ##b_n##

[tex]\sum^{\infty}_{n=0}\frac{t^n}{n!}b_n=e^{\frac{4at}{3}}e^{-\frac{t^2}{3}}[/tex]

a is constant.

## Homework Equations

[tex]e^x=\sum^{\infty}_{n=0}\frac{x^n}{n!}[/tex]

## The Attempt at a Solution

Here

[tex]e^{\frac{t}{3}(4a-t)}=\sum^{\infty}_{n=0}\frac{( \frac{t}{3}(4a-t))^n}{n!}[/tex]

I tried to use this. But I did not succeed to find given coefficients.

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