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Consider the differential equation y' - y = sgn(x), with the initial condition y(0) = 0, where 1, x 0, sgn(x) = Hint: ==

 

Consider the differential equation y' - y = sgn(x), with the initial condition y(0) = 0, where 1, x 0, sgn(x) = Hint: == sgn(x) = 2u(x)-1, where u(x) = (1, x 0, 0,x

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