Find the laplace transform by definition. a) L{2}, b)L{e^(2t)}, c)L[3^(-3t)]

Cheyanne Leigh

Cheyanne Leigh

Answered question


Find the laplace transform by definition.
a) L{2}
b) L{e2t}
c) L[e3t]

Answer & Explanation

Nola Robson

Nola Robson

Skilled2021-03-07Added 94 answers

Step 1
Here we finding the Laplace transform of given function by the definition . We perform the definite integral as definition :
Step 2
Answer: By the definition Laplace transform of f(t) is given as:
a) f(t)=2
b) L{e2t}=0este2tdt=0e(2s)tdt
c) L{e3t}=0este3tdt=0e(s+3)tdt

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