Laplace transform of a exponential. we know that Laplace

Erika Bernard 2022-04-15 Answered
Laplace transform of a exponential.
we know that Laplace transform of xn is
L[xn]
provided n is a positive integer
but what is Laplace transform of
ax where a is some constant number
please help i searched on google so many times and try to solve this by its original defination that is
L[xn]=0axesxdx
but how to solve further ( i am using x insted of t here)
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Answers (2)

Latkaxu8j
Answered 2022-04-16 Author has 11 answers
0axesxdx=0exlnaesxdx=0e(slna)xdx=1slna
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Drantumcem0
Answered 2022-04-17 Author has 10 answers
axesx=(aes)x
L(aes)x=0(aes)x=1ln(aes)(aes)x0=1lnas(01)=1slna
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