$\backslash$table$[[-$ Entered,Answer Preview,Result$],[s^{**}Y+2-Y,sY+2-Y,$correct$],[-\frac{s}{(s^2)+(k^2)},\frac{-s}{s^2+k^2},$correct$],[[(s^2)+(k^2){]}^{**}(s-1),(s^2+k^2)(s-1),$correct$],[$s$-1,s-1,$correct$],[,,,$incorrect$],[.,,$incorrect$],[,,,$incorrect$],[-2^{**}(e^t),-2e^t,$incorrect$]]$

At least one of the answers above is NOT correct.

$3$ of the questions remain unanswered.

$(1$ point$)$ Take the Laplace transform of the IVP

$\frac{dy}{dt}-y=-1cos(kt),y(0)=-2$

Use $Y$ for the Laplace transform of $y,($not $Y(s)).$

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So

$Y=\frac{-1s}{?}+$

$=\frac{s+}{s^2+k^2}+\frac{?}{s-1}$

and $y(t)=$

Note: You can earn partial credit on this problem.

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