differential equation A mass that weighs 32 lb. is attached to the free end of an undamped spring that is stretched 1 ft. by a force of 4 lb. Beginning at time t = 0 (seconds), an external force F(t) = cos(2t) is applied to the mass, but at time t = 2π, this force is turned off (abruptly discontinued) and the mass is allowed to continue it motion unimpeded. (a) Write the differential equation that models the motion of this spring-mass system.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.