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Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y + 5y = 5t? -9, y(0) = 0, y

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Salution: Given initial value problem is y + 5y = 5X-9 , 7(0) = 0 . y (o)= -3 Taking taplace transform on both sides of the→ (82+5) ☺ = log - g -3 ot5) - Scenes - 25 - © 10- gs2 s3s²+5) s2+5 # Dst E + lo-gs² S3 (5²+5) - 5 2 S3 S2+5 Solving this byo c{:}+20{b}+c^{2} - 3L{ghts} or 2 1512 y=-1{5}+ 21{c+3+ title} -31{+48)2} Оe brown, [{16} = 1 [ { 1 2 } = I sinat [

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