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1) find the laplace transformation of e^at + b?

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$We; ; know ; ; that; ; L[f(t)]=int_0^infty e^-stf(t)dt$

$f(t)=e^at+b$

$L[f(t)]=int_0^infty e^-ste^at+bdt$

$L[f(t)]=int_0^infty e^(-s+a)t+bdt$

$L[f(t)]=e^bint_0^infty e^(-s+a)tdt$

$L[f(t)]=frace^bs-a; ; ; ; ; ; ; ; ; ; ; ; (ecause int_0^infty e^(-s+a)tdt=frac1s-a)$

Posted by

Deependra Verma

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(e^3t - e^-3t)²

Posted by

Sumanth

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