Mathematics · Partial Differential Equations
What is the partial differential equation obtained by eliminating the arbitrary constants a and b from the equation z = ax + by + a2 + b2? (where p = ∂z/∂x and q = ∂z/∂y)
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1z = qx + py + p2 + q2
- 2z = px + qy + p + q
- 3z = qx + py + p + q
- 4z = px + qy + p2 + q2✓
Correct answer
z = px + qy + p2 + q2
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