Assume that a spring does not follow Hooke’s Law. Instead, theforce required to stretch the spring x ft from its natural length isF(x) = 10x3/2 lb. How much work does it take to stretch the spring from an initial 1 ft past its natural length to 5 ft past its natural length?

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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.