Determine. a) L{2t^4e^(3t)} b) L{4e^(3t)cos 5t}

Ava-May Nelson

Ava-May Nelson

Answered question

2021-09-13

Determine a) Lft{2t4e3tright}
b) Lft{4e3tcos5tright}

Answer & Explanation

cheekabooy

cheekabooy

Skilled2021-09-14Added 83 answers

Step 1
We find Laplace transform of given function
Step 2
Solution:
a)Lft{2t4e3tright}=?
Lft{2t4e3tright}=2Lft{t4e3tright}
=2(1)4d4ds4Lft{e3tright}
=2d4ds41(s3)
=2d3ds31(s3)2
=2d2ds22(s3)3
=2dds2x3(s3)4
=22x3x4(s3)5
=2x4!(s3)5
Lft{2t4e3tright}=48(s3)5
b)Lft{4e3tcos5tright}=4Lft{e3tcos5tright}=4(s3)(s3)2+52
Lft{4e3tcos5tright}=4(s3)(s3)2+25
Lft

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