Help with Laplace Transforms of Autonomous & Delayed Functions

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thang
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Could you please help me to do Laplace transformation ? That is an autonomous and nonlinear function on the right-hand side

L{dx/dt}=L{1/1+x^a}

where a is an integer

other kind is in the form of delay

L{dx/dt}=L{sin(x(t-\tau))}

where \tau is delay, and real number
 
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