Project ForgeEngineering Mathematics
Calculus
GATE 2007
Easy
The partial differential equation ∂²φ/∂x² + ∂²φ/∂y² + (∂φ/∂x) + (∂φ/∂y) = 0 has
- degree 1 order 2
- Bdegree 1 order 1
- Cdegree 2 order 1
- Ddegree 2 order 2
Explanation
The order is the highest derivative present (the second partials φxx, φyy → order 2); the degree is the power to which that highest-order derivative is raised (here, power 1 → degree 1).
Source: GATE ME 2007 (2007)
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