Mathematics · Differential Equations
The solution of the partial differential equation 2∂2z∂x2 + 5∂2z∂x∂y + 3∂2z∂y2 = 0 will be:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1z = f(y - x) + φ(2y - 3x), where f and φ are arbitrary functions✓
- 2z = f(y - x) + φ(2y + 3x), where f and φ are arbitrary functions
- 3z = f(y + x) + φ(2y + 3x), where f and φ are arbitrary functions
- 4z = f(y + 2x) + φ(2y - x), where f and φ are arbitrary functions
Correct answer
z = f(y - x) + φ(2y - 3x), where f and φ are arbitrary functions
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