Can i get atleast one physical situtation which is depicted and interpreted by differential equation
MIT 18.03SC Differential Equations
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A few examples from the course:
Newton's law of cooling:
\[T' = k (T_e - T)\] where T is temperature of some object, T_e is external temperature and k a coupling constant (conductiveness / isolation).
Newton's law of universal gravitation:
\[r'' = G M / r^2\] where r is distance to the other mass (so r'' is acceleration), G is the gravitational constant and M is the other mass.
Mass attached to a spring with some damping (e.g. Hooke's law):
\[m x'' + b x' + k x = f(t)\] where m is the mass, x is its position, b is a damping constant, k is spring's strength and f is some driving force.
Circuit with resistor, inductor and capacitor (RLC):
\[L Q'' + R Q' + Q / C = V\] where Q is charge on the capacitor, L is inductance, R resistance, C capacitance and V a driving voltage.