Differential Equations Quiz
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FOUNDATIONS & QUALITATIVE ANALYSIS
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An object's motion is modeled by a differential equation derived from Newton's second law, Fnet=maF_{net} = ma. The net force on the object depends on its position xx, velocity vv, and time tt. If the net force is given by Fnet=−kx−cv2+F0sin⁡(ωt)F_{net} = -k x - c v^2 + F_0 \sin(\omega t), where kk, cc, F0F_0, and ω\omega are positive constants, which of the following correctly describes the resulting differential equation for the position x(t)x(t)?
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