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Please answer using laplace method with all steps clear and written on paper due in 2 hrs question attached

Please answer using laplace method with all steps clear and written on paper due in 2 hrs question attached
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Laplace.pdf

:−
( )= (3 ) ,
(3 )} = ℒ{ 1 1
+
2 2 (3 ) = (3 )} = ℒ ℒ{
= 1 1
+
2
2 +6 =
ℎ 1
1
− −
2
( 1 1
+
2
( ℒ{ (6 )
1 1
+
2 2 (6 ) = ( ) (3 )} = (−1) ℒ{
=− ( ) ( ) − 36
+ 36) − 36
+...

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