Great Deal! Get Instant $10 FREE in Account on First Order + 10% Cashback on Every Order Order Now

i need full detailed solving of the equations and presented in a report like manner. but mainly i want all calculation steps to be included

1 answer below »
i need full detailed solving of the equations and presented in a report like manner. but mainly i want all calculation steps to be included
005_i8gt9pk-je131h4t.jpg 005_1mkt9pk-1ynk1pku.jpg 005_n8ot9pk-nl3onn2x.jpg
Answered Same Day Dec 23, 2021

Solution

David answered on Dec 23 2021
122 Votes
Solution 1
a) ( ) √


( )
( )
( )





√
( ) ( ( ) )
( )
( )





√
( )( ( ) )
( )( ( ) )
( )
( )





√
( )( ( ) ( ))
Now taking laplace transform:
( )


(


( )
*
(

)



√
(

)
( )


(


( )
*

√



√
(

)
( )


(( ) ( ) )
( )(( ) )




(


)
( )

( )(( ) )




(


)
) ( ) ( ) ( ( ))
( )


Taking it in parts:
( ) ( ) ( ( ))

( ) ( ) ( ( ))
( )
( ) ( ) ( ( ))
( )
Taking laplace transform:
( )
( )
Taking next part:
( )
( )


( ) ∫ ( )
( ) ∫ (



*
( ) ∫ (


)
∫ (


*
( ) [ (
)]
[ ]
( ) [ (
)]
[ ]

( ) (
)
( ) (
)
( )



Taking next part:
( )
( )
( )


( ) (
)
Taking laplace:
( )

( )
( )

Hence
( )

( )

( )
( )
c) ( )

( )( )

( )

( )
( )

( )

( )
( )
( )

Hence laplace inverse is:
( )



√
√
√
Solution 2:
a) ( )
( )
( ) ∫ ( ) ( )
( ) ∫ ( )
( ) ∫ ( )
( ) [[ ]


]
*∫
+
( )


*∫ ( )
+
( )


*

+
*∫
+
( )


*

+
*∫
+
( )




( )
( )





Taking laplace transform:
( )

( )
( )
( )
( )

( )
( )

( )
( )
( )( )

( )

( )( )

( )

( )( )

Applying Laplace transform...
SOLUTION.PDF
SOLUTION.PDF

Answer To This Question Is Available To Download

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here
Attach File