A spring has mass m, spring constant k and external force F(t) with negligible damping force is given by the following differential equation ma" + kx = F(t). If external force F(t) = cos wt is applied, where w # V k find the m equation of motion of the mass x(t), if x(0) = x'(0) : 0.

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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.