Find the Laplace transform of t^2 e^ (-4t)

Problem

Question

Find the Laplace transform of t^2 e^ (-4t)

Topic

Laplace Transform
Table of Laplace Transforms

Laplace Transform Problems

  1. Find L[f(t)] where f(t)=t for 0<t<4 & f(t)=5, t>4
  2. Find L[f(t)] if f(t)=sin t for 0<t<π and f(t)=0 for t>π
  3. Find L [f (t)] if f (t) = e^t for 0<t<1 and f(t)=0 for t>1
  4. Find L[f(t)] if f(t)=0 for 0<t<1 ; f(t)=t for 1<t<2 ; f(t)=0 for t>2
  5. Find the Laplace Transform of (tcos2t+(1-e^3t)/t)
  6. Find Laplace transform for t^n
  7. Find the Laplace transform of (cost2t-cos3t)/t
  8. Find the Laplace transform of t^2 e^ (-3t) sin2t
  9. Find the Laplace transform of e^3t (2 cos5t-3sin5t)
  10. Find the Laplace transform of sin^2t
  11. Find the Laplace transform of (cos3t cos4t)
  12. Find the Laplace transform of f(t)=t^3-3t+2
  13. Find the Laplace transform of 3 cosh5t-4 sinh5t
  14. Find the Laplace transform of sin^3t + e^2t
  15. Find the Laplace transform of e^ (-t) sin2t
  16. Find the Laplace transform of e^ (-3t) sin^2t
  17. Find the Laplace transform of e^ (-3t) sin 5t sin 3t
  18. Find the Laplace transform of t cos at
  19. Find the Laplace transform of t e^ (-2t) sin 4t
  20. Find the Laplace transform of t^2 e^ (-4t)
  21. Find the Laplace transform of t sinh at
  22. Find the Laplace transform of t (3 sin 2t-2 cos 2t)
  23. Find the Laplace transform of (1-cost)/t
  24. Find the Laplace transform of (e^ (-t) sint)/t
  25. Find the Laplace transform of (e^at-cosbt)/t
  26. Prove that using Laplace transform of integral over 0 to infinity (t e^ (-2t) sint) dt = 4/25

 

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