Applicare la formula: $a+\frac{b}{c}$$=\frac{b+ac}{c}$, dove $a=e^{3t}\sin\left(2t\right)$, $b=2\cos\left(2t\right)$, $c=e^{4t}$, $a+b/c=e^{3t}\sin\left(2t\right)+\frac{2\cos\left(2t\right)}{e^{4t}}$ e $b/c=\frac{2\cos\left(2t\right)}{e^{4t}}$

Applicare la formula: $x^mx^n$$=x^{\left(m+n\right)}$, dove $x=e$, $m=3t$ e $n=4t$

Combinazione di termini simili $3t$ e $4t$