Suppose the probability that a particular computer chip fails after a hours of operation is 0.00005∫_a^∞ e^{−0.00005t}dt. Of the chips that are still operating after 15,000 hr, what fraction of these will operate for at least another 15,000 hr

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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.