Given y - 2x2 – 4x + 9 (a) Find the differential dy. (b) When x changes from 2 to 2.05 what is the value of dy? (c) Find the true value of Ay and determine the error involved when dy is used as an approximation to Ay. (d) Determine the error of approximation when x undergoes a smaller change, from 2 to 2.01. Is the error smaller than in c)

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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.