Civil Engineering > GATE 2022 SET-1 > Calculus
Consider the following expression: z = sin(y + it) + cos(y - it) where z, y, and t are variables, and i = √-1 is a complex number. The partial differential equation derived from the above expression is
A
∂2z/∂t2 + ∂2z/∂y2 = 0
B
∂2z/∂t2 - ∂2z/∂y2 = 0
C
∂z/∂t - i(∂z/∂y) = 0
D
∂z/∂t + i(∂z/∂y) = 0

Correct : a

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