Mathematics · Partial Differential Equations
The general solution of the partial differential equation x(∂z/∂x) + y(∂z/∂y) = 0 is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1z = φ(|x| / |y|), φ ∈ C 1 (ℝ)✓
- 2z = φ((x - 1) / y), φ ∈ C 1 (ℝ)
- 3z = φ((x + 1) / y), φ ∈ C 1 (ℝ)
- 4z = φ(|x| + |y|), φ ∈ C 1 (ℝ)
Correct answer
z = φ(|x| / |y|), φ ∈ C 1 (ℝ)
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