The general solution of partial differential equation x (y^{2} + z) \frac{\partialz}{\partialx}−y (x^{2} + z) \frac{\partialz}{\partialy} = (x^{2}−y^{2}) z will be:

Correct Answer is : φ(xyz, x2 + y2 - 2z) = 0, where φ is an arbitrary function.

φ(xyz, x 2 + y 2 - 2z) = 0, where φ is an arbitrary function.

φ(x + y + z,x 2 + y 2 ) = 0, where φ is an arbitrary function.

φ(x 2 + y 2 + z 2 , x + y + z) = 0 where φ is an arbitrary function

φ(x + y - z, xy + yz + zx) = 0, where φ is an arbitrary function

AAI ATC Junior Executive 2018 Shift 1 Paper

Question : 71 of 120

Marks: +1, -0

The general solution of partial differential equation

x (y^{2} + z) \;{∂z}/{∂x}−y (x^{2} + z) \;{∂z}/{∂y} = (x^{2}−y^{2}) z

will be:

Go to Question:

Prev Question

Next Question