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Q94Section II (Mathematics)94 of 190

Laplace transform of a repeated-root second-order IVP

Suppose that the function y(t)y(t) satisfies the differential equation y"−4y′+4y=0y"-4y'+4y=0 with initial condition y(0)=0,y′(0)=3y(0)=0, y'(0)=3. Then the Laplace transform of y(t)y(t) is:

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