Agricultural Engineering > GATE 2026 > Partial Differential Equations
Identify the following partial differential equations in the given order based on their generic form where c is a constant, and u1 and u2 are functions of (x,t) and (x,y), respectively:
(i) ∂²u1/∂t² = c² ∂²u1/∂x²
(ii) ∂u1/∂t = c² ∂²u1/∂x²
(iii) ∂²u2/∂x² + ∂²u2/∂y² = 0
A
(i) Wave equation (ii) Heat equation (iii) Laplace equation
B
(i) Heat equation (ii) Laplace equation (iii) Wave equation
C
(i) Laplace equation (ii) Wave equation (iii) Heat equation
D
(i) Heat equation (ii) Wave equation (iii) Laplace equation

Correct : a

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