4) Using Laplace transform to solve y" + 9y = cos³t, yco)=1, y'co)=5 Hint: ду Lr sinkt + Ktcoskt} 2KS = (3²+k²)²
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- show that sin'Z=-iln(iz=(1-2²)Question 3 * Q3) Simplify (if necessary) then Compute: y"+ 2y' Where y(x) 1, (z²x + cosx*)][*(cosh2x-sinh2x}] (16) coszn x 'dxdzFind the Laplace transform g(t)={0 0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^ 3) C. (2e ^ (- 5e))/(s ^ 3) D. (2a ^ (- 5s))/(s ^ 2)