Ejercicios de repaso sección 4.2

Evaluar las transformadas inversas.

  1. L−1{1s2−48s5}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{1}{s^2}-\dfrac{48}{s^5}\right\}

  2. L−1{(s+2)2s3}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{\left(s+2\right)^2}{s^3}\right\}

  3. L−1{4s+6s5−1s+8}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{4}{s}+\dfrac{6}{s^5}-\dfrac{1}{s+8}\right\}

  4. L−1{14s+1}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{1}{4s+1}\right\}

  5. L−1{4s4s2+1}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{4s}{4s^2+1}\right\}

  6. L−1{s+1s2+2}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s+1}{s^2+2}\right\}

  7. L−1{2s−6s2+9}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{2s-6}{s^2+9}\right\}

  8. L−1{(2s−1s3)2}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\left(\dfrac{2}{s}-\dfrac{1}{s^3}\right)^2\right\}

  9. L−1{s+1s2−4s}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s+1}{s^2-4s}\right\}

  10. L−1{ss2+2s−3}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s}{s^2+2s-3}\right\}

  11. L−1{s(s−2)(s−3)(s−6)}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s}{(s-2)(s-3)(s-6)}\right\}

  12. L−1{s(s+2)(s2+4)}\hspace{0.5cm} \mathscr{L} ^{-1}\left\{\dfrac{s}{(s+2)(s^2+4)}\right\}