Find the general solution of the differential equation: $\displaystyle \frac{{\left.{d}{y}\right.}}{{\left.{d}{t}\right.}}=-{2}{t}{y}+{4}{e}^{{-{t}^{{2}}}}$.

What is the integrating factor? $\displaystyle \mu{\left({t}\right)}=$ Preview Question 6 Part 1 of 2  

Use lower case $\displaystyle {c}$ for the constant in answer below.

$\displaystyle {y}{\left({t}\right)}=$ Preview Question 6 Part 2 of 2