AAI ATC Junior Executive 2018 Shift 1 Paper

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Question : 67 of 120

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A partial differential equation derived from the equation z = ae^by sinbx will be:

$\;{∂z}/{∂y} = 2y (\;{∂z}/{∂x}) ^{2}$
$(1 + \;{∂z}/{∂y}) \;{∂z}/{∂x} = z$
$\;{∂^{2}z}/{∂x^{2}} + \;{∂^{2}z}/{∂y^{2}} = 0$
$2z = x\;{∂z}/{∂x} + y\;{∂z}/{∂y}$

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