Mathematics · Differential Calculus

If y = f(x1, x2) is a homogeneous function of degree one, then according to Euler's theorem:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1∂y∂x1 · dx1 + ∂y∂x2 · dx2 = y
2x1 ∂y∂x1 + x2 ∂y∂x2 = 1
3x1 ∂y∂x1 + x2 ∂y∂x2 = y✓
4x1 ∂y∂x1 + x2 ∂y∂x2 = 0

Correct answer

x1 ∂y∂x1 + x2 ∂y∂x2 = y

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If y = f(x1, x2) is a homogeneous function of degree one, then according to Euler's theorem:

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If y = f(x1, x2) is a homogeneous function of degree one, then according to Euler's theorem:

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