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A mass of five kilograms is mounted horizontally on a spring, with spring constant 1 Newton...

A mass of five kilograms is mounted horizontally on a spring, with spring constant 1 Newton per meter, and friction coefficient 4 Newton-seconds per meter. The mass is in a magnetic field which exerts an additional force on the mass of constant strength 1 Newton. At time t = 0, the mass is at rest, at its equilibrium position. Write down the differential equation which describes the position of the mass, and compute its general solution.

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