Let w(x, y, z) = x2 + y? + z2 where x = sin( – 2t) , y = cos( – 8t), z = e". 9t dw dx dy dz Calculate by first finding dt & and using the chain rule. dt' dt dt dæ dt dy dt dz dt Now use the chain rule to calculate the following: dw dt

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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.