$$$\frac{2 s - 1}{s^{4} + s^{2} + 1}$$$ fonksiyonunun ters Laplace dönüşümü

Bulun: $$$\mathcal{L}^{-1}_{s}\left(\frac{2 s - 1}{s^{4} + s^{2} + 1}\right)$$$.

$$$\frac{2 s - 1}{s^{4} + s^{2} + 1}$$$A'nin ters Laplace dönüşümü $$$\frac{\sqrt{3} e^{\frac{t}{2}} \sin{\left(\frac{\sqrt{3} t}{2} \right)}}{2} + \frac{e^{\frac{t}{2}} \cos{\left(\frac{\sqrt{3} t}{2} \right)}}{2} - \frac{5 \sqrt{3} e^{- \frac{t}{2}} \sin{\left(\frac{\sqrt{3} t}{2} \right)}}{6} - \frac{e^{- \frac{t}{2}} \cos{\left(\frac{\sqrt{3} t}{2} \right)}}{2}$$$A'dir.