A certain spring-mass system satisfies the initial value problem Edit u" + 2u' + 10u = kg(t), u(0) = 0, u'(0) = 0, %3D where g(t) = uz(t) – us (t) and k > 0 is a parameter. - 2 2 a) Sketch the graph...

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0 is a parameter. - 2 2 a) Sketch the graph of the forcing function on an appropriate interval. 1 0.8 0.6 0.4 + 0.2 1 2 4 b) Solve the initial value problem. NOTE: Denote the two Heaviside functions by uc(t) and ua(t). Indicate separately the values ofc and d knowing that c is the minimum of the two values. u(t) 3, "/>
Extracted text: A certain spring-mass system satisfies the initial value problem Edit u" + 2u' + 10u = kg(t), u(0) = 0, u'(0) = 0, %3D where g(t) = uz(t) – us (t) and k > 0 is a parameter. - 2 2 a) Sketch the graph of the forcing function on an appropriate interval. 1 0.8 0.6 0.4 + 0.2 1 2 4 b) Solve the initial value problem. NOTE: Denote the two Heaviside functions by uc(t) and ua(t). Indicate separately the values ofc and d knowing that c is the minimum of the two values. u(t) 3,