The equation xy {\delta ^{2}z}/{\delta x^{2}}− (x^{2}−y^{2}) \frac{\delta ^{2}z}{\delta x\delta y}−xy {\delta ^{2}z}/{\delta y^{2}} + y\frac{\delta z}{\delta x}−\frac{\delta z}{\delta y} = 2 (x^{2}−y^{2}) is classified as:

Correct Answer is : hyperbolic for all x, y (≠ 0)

hyperbolic for all x, y (≠ 0)

hyperbolic for x = 0, y = 0; elsewhere parabolic

AAI ATC Junior Executive 2018 Shift 3 Paper

Question : 95 of 120

Marks: +1, -0

The equation

xy\;{δ ^{2}z}/{δ x^{2}}− (x^{2}−y^{2}) \;{δ ^{2}z}/{δ xδ y}−xy\;{δ ^{2}z}/{δ y^{2}} + y\;{δ z}/{δ x}−\;{δ z}/{δ y} = 2 (x^{2}−y^{2})

is classified as:

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