engineering recuitment BARC Stipendiary Trainee Category I 2023 Mock Test Mathematics Differential Equations
The general solution of partial differential equation
\(x\left( {{y^2} + z} \right)\frac{{\partial z}}{{\partial x}} - y\left( {{x^2} + z} \right)\frac{{\partial z}}{{\partial y}}=\left( {{x^2} - {y^2}} \right)z\) will be:
1
φ(xyz, x2 + y2 - 2z) = 0, where φ is an arbitrary function.
2
φ(x + y + z,x2 + y2) = 0, where φ is an arbitrary function.
3
φ(x2 + y2 + z2, x + y + z) = 0 where φ is an arbitrary function
4
φ(x + y - z, xy + yz + zx) = 0, where φ is an arbitrary function