Differential Equations Quiz
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Let Y(s)=L{y(t)}Y(s) = \mathcal{L}\{y(t)\}. The expression for L{y′′′(t)}\mathcal{L}\{y'''(t)\} is s3Y(s)−s2y(0)−sy′(0)−y′′(0)s^3Y(s) - s^2y(0) - sy'(0) - y''(0). If the initial condition y(0)y(0) is changed from c1c_1 to c2c_2, while y′(0)y'(0) and y′′(0)y''(0) remain fixed, what is the resulting change in L{y′′′(t)}\mathcal{L}\{y'''(t)\}?
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