Laplace Transform formulae |Laplace Transform for elementary functions | #laplacetransform #shorts

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Laplace transform formulae || Laplace Transforms engineering mathematics | Laplace Transform of Elementary Functions || Laplace transformation all formula in one shorts
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Laplace Transform:-
Formulas :-
(Elementary Functions)
1) 𝐋{𝟏}=𝟏/𝒔 2) 𝐋{𝒏}=𝒏/𝒔
3) 𝐋{𝒆^𝒂𝒕 }=𝟏/(𝒔−𝒂)
4) 𝐋{𝒕^𝒏 }=𝒏!/𝒔^(𝒏+𝟏)
5) 𝐋{𝒔𝒊𝒏𝒂𝒕}=𝒂/(𝒔^𝟐+𝒂^𝟐 )
6) 𝐋{𝒄𝒐𝒔𝒂𝒕}=𝒔/(𝒔^𝟐+𝒂^𝟐 )
7) 𝐋{𝒔𝒊𝒏𝒉(𝒂𝒕)}=𝒂/(𝒔^𝟐−𝒂^𝟐 )
8) 𝐋{𝒄𝒐𝒔𝒉(𝒂𝒕)}=𝒔/(𝒔^𝟐−𝒂^𝟐 )

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