In the material point S with mass m=1Kg wich travels in Ox axis, there are applied 2 forces: a pushing force wich is proportional to movement OS (coefficient k>0 kg/s^2) and a pulling force proportional to the time (coefficient lambda>0 kg/s^2). In time t=0, material point S is in X0=8*lambda/3k * sqrt(m/k) position and has an velocity of X`0=lambda/k. a)Give the differential equation of this problem. b)solve in analytic way the equation
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