PROOF OF PROPERTIES OF LAPLACE TRANSFORM (part 2)

1) LAPLACE TRANSFORM OF INTEGRAL PROPERTY

PROOF

2) LAPLACE TRANSFORM UNIT STEP FUNCTION

L.T OF UNIT STEP FUNCTION

3) SECOND SHIFTING PROPERTY OF LAPLACE TRANSFORM

PROOF OF SECOND SHIFTING PROPERTY

EXAMPLE 1

EXAMPLE 2

EXAMPLE 3

EXAMPLE 4