Transformacja Laplace'a w6

Wzór6: f(t) = cosh cot AR.es > |ćy|

^(5) = L {/(*)} = f f{t)e ^sdt = fcosh COt-e *dt = f

® ot . —ot    1 ®

e + e    . Lr

—St 7, A C tS a—f1    , -tS o—5'i    7,

■e dt = -\e    + e dt

lfo-5)    -tfo+5)

e ■    ¹ e ■

■ +

4 lim

— (fy+ 5) J 2*-

1

1

co-s CO+S

' _e~^v^⁵⁾

!_v

CO~S CO + S

1

1

co-s CO + S

1    f co+s-co + s\ _ 1 2s

2    \    a>²-s²    ) ^x

2 s‘-co‘ s² — co²

0-