Solve the differential equation (1 − xy)−²dx + [y² + x²(1 — xy)−²] dy + x²(1 − xy)−²] dy = 0; y (2) = 1

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A: The objective of the question is evaluate the differential equation.

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A: Given, f(x,y)=8x2+7y2

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A: See this solution in below.

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A: We have u→=2i-3j+kor u→=2, -3, 1Alsov→=7, -3, 4

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A: This is application of integration problem

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A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0

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A: Please see the below picture for detailed solution.

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Q: lim x3 3 3 1 – x

A: Concept: Limit: The value that a function tends to approach as the input value, also known as the…