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1. Homework Statement
y''+y = f(t)
y(0) = 0; y'(0)=1
f(t) = 1, 0<=t<pi/2
0, pi/2<=t
3. The Attempt at a Solution
so far, i have
(s^2+1)*L{y} = [tex]\frac{s-e^(-pi/2s)}{s}[/tex] +1
what is next ?
y''+y = f(t)
y(0) = 0; y'(0)=1
f(t) = 1, 0<=t<pi/2
0, pi/2<=t
3. The Attempt at a Solution
so far, i have
(s^2+1)*L{y} = [tex]\frac{s-e^(-pi/2s)}{s}[/tex] +1
what is next ?