Find the Laplace transform of a bt ct2 for some constants

Find the Laplace transform of a + bt + ct2 for some constants a, b, and c.

Solution

given a + bt + ct2

Laplce transform of [ a + bt + ct2 ]

L{a} + L{bt} + L{ct2}   

a L{1} + b L{t} + c L{t2}

a/s + b/s2 + 2c/s3

Find the Laplace transform of a + bt + ct2 for some constants a, b, and c.Solutiongiven a + bt + ct2 Laplce transform of [ a + bt + ct2 ] L{a} + L{bt} + L{ct2}

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