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[answered] Laplace transform to solve the given initial value problem


Laplace transform to solve the given initial value problem


y"-4y'-60y=0 ? ? ? ? ? ?y(0)=13 ; y'(0)=18


y 4 y 60 y 0

 

Taking Laplace both sides s F s sy 0 y 0 4 sF s y 0 60F s 0 s F s 13s 18 4 sF s 13 60F s 0

 

F s s 4s 60 13s 34 0

 

2

 

2 2 F s s 10 s 6 13s 34

 

F s 13s 34 s 10 s 6 7

 

6 s 6 s 10

 

6 7

 

y t L1 s...

 


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