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Af(t) Use the method of Laplace transforms and the accompanying proof results to solve the initial value problem. y +9y + 1

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if f(t+7)= f(t) ; fct) is function with Period 7 L (for) = S f (t) e e) est do пт T 21 est s f(t) est de + f f (t) et dt - -h(fit)) = § 3-1-137 Jfck) est de =) e (n-1 IST s fit) est dr. E Stechestra at alesa Given D.E y+9yt lsy = f(t); Y Lo=0, yCLifet) = s fit). est at So, e 106 }, estar (so) (1-25)(1+253) -st -53 ) lipess) (le (less (less) (itess) 1 X slitets — Now [(rok А B с + St3 S St6 si5+95 +18) A (²+95 +18) +B(32+65) + c(²+35) - s(32+95t is) (A+B+C) 3 + 9A +6B +32) + 18 A s(8²299+16)2 + st3 sto Y(S) = [ { tiesne ( nothy 2 ( uct-c). f(t-1)) = é es d (fets) -) Iles UA CH)) - uct-c).fct -c) se , ellys)- to

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