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GATE ME 2026 Set 1 — Question 13

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MCQ+1 / -0.33EasyDifferential EquationsEngineering Mathematics

Engineering Mathematics → Differential Equations

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Question

The order and degree of the following differential equation are mm and nn, respectively.∂3φ∂x3+∂2φ∂y2∂φ∂x+(∂2φ∂x2)2+∂φ∂y=0\frac{\partial^3 \varphi}{\partial x^3} + \frac{\partial^2 \varphi}{\partial y^2} \frac{\partial \varphi}{\partial x} + \left( \frac{\partial^2 \varphi}{\partial x^2} \right)^2 + \frac{\partial \varphi}{\partial y} = 0The value of (m−n)(m - n) is
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