15 - The number Af(x,y) = f(x + dx, y+ dy) – f(x, y) is estimated by df below. Calculate df at P(3, 3) to estimate Af if f(x, y) = y³e*-3 + x³e-3 and dæ = 0.02, dy = 0.05. = AL using the definition given DEFINITION Total Differential If we move from (xo, yo) to a point (xo + dx, yo + dy) nearby, the resulting change df = f,(xo, yo) dx + f,(xo, yo) dy in the linearization of f is called the total differential of f.

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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.