Interpretation o f 1 / k The reciprocal I I / k l (which has units of time) of the absolute value of the decay constant k in the decay equation y' = ky can be roughly interpreted as the time for y to fall two-thirds of the way from the initial value y0 to the limiting value 0. Show why this is true and illustrate with a figure. HINT: Evaluate the solution at I = i i / k l .

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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.