Mathematics · Differential Calculus
Let g(x, y) = f(x, y) e2x + 3y be defined in &mathbb{R}2, where f(x, y) is a continuously differentiable non-zero homogeneous function of degree 4. Then, x ∂g∂x + y ∂g∂y = 4g holds for:
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- 1all points (x, y) on the line given by 2x + 3y = 0✓
- 2all points (x, y) in the region of &mathbb{R}2 except on the line given by 2x + 3y + 4 = 0
- 3all points (x, y) on the line given by 2x + 3y + 4 = 0
- 4all points (x, y) in &mathbb{R}2
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all points (x, y) on the line given by 2x + 3y = 0
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