Suppose that the Celsiustemperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2yand that distance in the xy-plane is measured in meters. A particleis moving clockwise around the circle of radius 1 m centered at theorigin at the constant rate of 2 m / sec. How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point P(1/2, √3/2)?

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Q: a

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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.