Example 10: If x² + y² = xy, find
dy
dx
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Answer:
y = x²+xy+y²
Differentiating both sides w.r.t 'x' we get,
dy/dx = 2x + y + dy/dx. x + 2y. dy/dx
Taking all dy/dx on one side,
dy/dx - dy/dx.x - 2y. dy/dx = (2x - y)
Taking dy/dx common,
dy/dx (1-x-2y) = (2x - y)
dy/dx = (2x - y)/ (1 - x - 2y)
Step-by-step explanation:
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